Prof. Dr. Othman ECHI

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Contents

  1. PERSONAL DATA
  2. ACADEMIC QUALIFICATIONS
  3. LANGUAGES
  4. PROFESSIONAL EXPERIENCE
  5. UNIVERSITY TEACHING
  6. RESEARCH EXPERIENCE
  7. OTHER UNIVERSITY ACTIVITIES
  8. COMMUNITY SERVICES
  9. LIST OF PUBLICATIONS
  10. LINK TO MATHEMATICS GENEALOGY PROJECT

(I)               PERSONAL DATA

 

Full Name

:

Othman ECHI

Date & Place of Birth

:

20/02/1962 El Hamma Djerid (Tunisia)

Nationality

:

Tunisian

Marital Status

:

Married

Present Address

:

King Fahd University of Petroleum and Minerals. Department of Mathematics & Statistics, Dhahran, Saudi Arabia.

Function

:

Professor

E-mails

:

echi@kfupm.edu.sa; othman.echi@gmail.com, and othechi@yahoo.com

Major Fields

:

Commutative Algebra, General Topology.

Areas of Research Interest

:

Commutative Algebra, Discrete Mathematics and its Applications, Digital Topology, Elementary Number Theory and its Applications, Foliation Theory, General Topology, Theory of Binary Relations, Theory of Categories, Theoretical computer science.

 

 

 

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(II)            ACADEMIC QUALIFICATIONS

 

Degree

Date

University

Country

Specialization

BS

1986

Univ. Tunis II

Tunisia

Mathematics

Master

1988

Univ. Tunis II

Tunisia

Algebra

Doctorate of Specialty

1990

Univ. Tunis II

Tunisia

Algebra

Doctorate of State

1993

Univ. Tunis II

Tunisia

Algebra

Habilitation

2001

Univ. Aix-Marseille III

France

Algebra and topology

Awards and Scholarships

 

Year

Award or Scholarship

1986

The First Prize for graduating with excellence from the ENS (Ecole Normale Supérieure), Bizerte

AY: (86/87), (87/88)

Tunisian Government Scholarship for graduate studies (from the ENS, Bizerte)

1982

The First Prize for graduating with excellence from high school (School of Abul-Kacem Chebbi, Tozeur)
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(III)        LANGUAGES

 

Language

Proficiency

Reading

Writing

Conversation

Arabic

Excellent

Excellent

Excellent

French

Excellent

Excellent

Excellent

English

Excellent

Excellent

Good
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(IV)         PROFESSIONAL EXPERIENCE

Job Title

From - To

Institution

Country

Assistant (Lecturer)

1988-1991

Fac. Sc. Sfax

Tunisia

Assistant Professor

1991-1994

Fac. Sc. Sfax

Tunisia

Associate Professor

1994-2000

Fac. Sc. Sfax

Tunisia

Professor Dr.

March 2001-Now

Fac. Sc. Tunis

Tunisia

Professor Dr.

September 2009-Now

KFUPM

KSA
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(V)             UNIVERSITY TEACHING

 

Calculus, General Topology, Differential Geometry, Hilbertian Analysis, Discrete Mathematics, Linear Algebra, Abstract Algebra,

Rings and Fields, Group Theory, Number Theory.

 

Graduate courses that I have taught at the Master degree

 

1.      Dimension Theory (University of Sfax) [AY: 1994/1995]

2.       Commutative Algebra (University of Sfax) [AY: 1995/1996]

3.      Spectral Spaces (University of Sfax) [AY: 1997/1998]

4.      Spectral Spaces (University of Tunis El Manar) [AY: 01/02]

5.      Theory of Categories and Topology (University of Tunis El Manar) [AY: 2002/2003]

6.       Theory of categories and Topology (University of Tunis El Manar) [AY: 2003/2004]

7.      Discrete Mathematics and Applications (University of Tunis El Manar) [AY:2005/2006]

8.      Lattice Theory and application to Theoretical Computer Science (University of Tunis El Manar) [AY: 2008/2009]

9.      Abstract Algebra (King Fahd University of Petroleum and Minerals) [AY: 2009/20010]

10.  Commutative Algebra (King Fahd University of Petroleum and Minerals) [AY: 2013/2014]

 

 

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(VI)         RESEARCH EXPERIENCE

 

            Number of Master’s Theses Supervised: (9)

            Supervised Theses (Ph. D. Or Habilitation): (11)

Students who received their Habilitation or Ph.D. Degree under my supervision

 

Student Name

Degree

Title of the Dissertation

University & Year

Ezzeddine Bouacida (co-supervision)

Doctorate of State

The Space of leaves of a Co-dimension one Foliation and Spectral Topology

University of Sfax, Tunisia; 1998

Mabrouk Ben Nasr

Ph. D.

Pairs of Rings Satisfying a Property and Non-finite Dimension

University of Sfax, Tunisia; 1999

Bahri Cherif

Ph. D.

Spectral and Topological Reconstruction of a Binary Relation

University of Tunis II; 1999

Noomen Jarboui

Ph. D.

Jaffard Pairs and the Altitude formula

University of Sfax, Tunisia; 2000

Karim Belaid

Ph. D.

On some Problems in Spectral Topology

University of Tunis II; 1999

Mabrouk Ben Nasr

Habilitation

On Some Problems about pairs of rings and Chain Conditions on a Commutative Ring

University of Tunis-el Manar; 2002

Noomen Jarboui

Habilitation

Jaffard Pairs, Universally Catenarian Pairs and a solution to a conjecture on chain conditions on Polynomial Rings

University of Sfax, Tunisia; 2003

Ryadh Gargouri

Ph. D.

A-Spectral Spaces and Locally Compact Sober Spaces

University of Tunis-el Manar; 2006

Karim Belaid

Habilitation

Spectral Topology

University of Tunis-el Manar; 2007

Sami Lazaar

Ph. D.

Separation Axioms and Duality in General Topology

University of Tunis-el Manar; 2008

Lobna Dridi

Ph. D.

On Door, Submaximal and Nodec Spaces

University of Tunis-el Manar; 2012

 

Participation at International Conferences (In each of the following conferences, I gave a talk (except in 6))

1.      The conferences of the Tunisian Mathem.atical Society: April 1993, March 1994, March 1995, March 1996, March 1997, March 1998, March 2006, March 2007.

2.       The first International Conference “Autour des polynômes à valeurs entières ” 1990. CIRM, Marseille, France.

3.      The first International Conference on Commutative Ring Theory. 1992, Fez, Morocco.

4.      The International Conference “Algèbre et Applications” 1993, CIRM, Marseille, France.

5.      The second International Conference on Commutative Ring Theory. 1995, Fez, Morocco.

6.      The International School: “Real and Complex Foliations” organized by the ''International Centre for Pure and Applied Mathematics CIMPA'', 1995, September 11-22. Sfax, Tunisia.

7.        The International Conference “Algèbre et théorie des nombres 1997”, Fez, Morocco.

8.       The International Conference “Algèbre”, 1997, Marseille, France.

9.        The International Workshop “Commutative ring Theory III” 1997”, Fez, Morocco.

10.  Relational Methods in Computer Science (RelMiCS) (RelMiCS) 1997 (conf/RelMiCS/1997), Hammamet, Tunisia.

11.  The Conference of S.A.M.S (Saudi Association for Mathematical Sciences). King Saud University, March 1999, Riyadh, Saudi Arabia.

12.  The International Workshop on Algebra and Applications 1999, November 7-9. King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.

13.  The Conference of  S.A.M.S (Saudi Association for Mathematical Sciences). King Saud University, April 2000, Riyadh, Saudi Arabia.

14.  The 19th Summer Conference on Topology and its Applications, 5-9 July 2004, University of Cape Town, South Africa.

15.   The 6th PAN-AFRICAN CONGRESS OF MATHEMATICIANS, September 01-06, 2004, Tunis, Tunisia.

16.  Fourth International  Conference on Applied Mathematics and Computing, August 12-19, 2007,  Plovdiv, Bulgaria.

17.   Fifth International Fez “Commutative Algebra and its Applications”, June 23-28, 2008, Fez, Morocco.

18.  The 24th Summer Conference on Topology and Its Applications,  July 14-17, 2009, Brno, Czech Republic.

19.  2009 International Conference on Topology and Its Applications,   July, 06-11, 2009, Hacettepe University, Ankara-Turkey.

20.  The First International Conference on Mathematics and Statistics AUS-ICMS’10, March 18-21, 2010, American University of Sharjah, Sharjah UAE.

21.  Algebra meets Topology: Advances and Applications. Conference in honour of Dikran Dikranjan on his 60th birthday. July 19- 23, 2010, Barcelona, Spain.

22.   International Conference on Applied Analysis and Algebra, Yildiz Technical University, June 29 - July 2, 2011, Istambul, Turkey.

23.  International Conference on Applied Analysis and Algebra, Yildiz Technical University, June 29 - July 2, 2012, Istambul, Turkey.

 

 

 

 

 

 

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(VII)      OTHER UNIVERSITY ACTIVITIES

 

1.      1993-1996: Elected member of the Scientific Council (Faculty of Sciences of Sfax) 1995-1999: Elected member of the National Jury of Recruitment of Assistants (Ministry of Higher Education, Tunisia).

2.      1995-1999: Elected member of the National Jury of Recruitment of Assistant Professors (Ministry of Higher Education, Tunisia).

3.       2004-2005: Elected member of the National Jury of Recruitment of Assistant Professors (Ministry of Higher Education, Tunisia).

4.      Vice-President of the Tunisian Mathematical Society (1997-1998).

5.      1992-1998: Director of the Research group “Algebra” at the University of Sfax (E03/C15).

6.      2003-2010: Director of the Research group “Algebra and Topology” (03/UR/03/C15) at the University of Tunis El Manar.

7.        2004-2005: Elected member of the National Jury of Recruitment of Assistant Professors (Ministry of Higher Education, Tunisia).

 

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(VIII)         COMMUNITY SERVICES  

                     Consultations and services: 

n  I have served as a referee for the following Journals or Series:

African Diaspora Journal of Mathematics; Allahabad Mathematical Society; Communications in Algebra; International Journal of Mathematics and Mathematical Sciences; Lecture Notes in Pure and Applied Mathematic; Matematicki Vesnik; Monatshefte der Mathematik; International Journal of Open Problems in Computer Science and Mathematics, Topology and its Applications, Arabian Journal of Mathematics, Abstract and   Applied Analysis, Jordan Journal of Mathematics & Statistics

n  I have also served as a referee for:  University of Sana’a (Yemen); Faculty of Sciences of Tunis (University of Tunis el-Manar), Faculty of Sciences of Sfax (University of Tunis Sfax);  University of Taibah, University of Dammem (KSA), Umm Al-Qura University (KSA)

n  I am an editor of ISRN Algebra

n  I am a reviewer in Zentralblatt MATH 

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(IX)                LIST OF PUBLICATIONS

 

1.

Echi, Othman. -anneaux, -anneaux et formule de la dimension. Portugaliae Matematica. 50 (1993), no. 3, 277--295.

2.

 Echi, Othman. Transfert de la notion de -anneaux aux produits fibrés. Portugaliae Mathematica 51 (1994), no. 1, 13--23.

3.

Echi, Othman. The altitude formula. Commutative ring theory (Fès, 1992), 99--103, Lecture Notes in Pure and Applied Mathematics 153, Dekker, New York, 1994.

4.

Ayache, Ahmed; Cahen, Paul-Jean; Echi, Othman. Intersection de produits fibres et formule de la dimension. Communications in Algebra 22 (1994), no. 9, 3495--3509.

5.

Echi, Othman. Sur les hauteurs valuatives. Bollettino della Union Matematica Italiana B (7) 9 (1995), no. 2, 281--297.

6.

Ayache, Ahmed; Cahen, Paul-Jean; Echi, Othman. Valuative heights and infinite Nagata rings. Communications in Algebra 23 (1995), no. 5, 1913--1926.

7.

Ayache, Ahmed; Cahen, Paul-Jean; Echi, Othman. Anneaux quasi-prüfériens et $P$-anneaux. Bollettino della Union Matematica Italiana B (7) 10 (1996), no. 1, 1--24.

8.

   Bouacida, Ezzeddine; Echi, Othman; Salhi, Ezzeddine. Topologies associées á une relation binaire et relation binaire spectrale. Bollettino della Union Matematica Italiana B (7) 10 (1996), no. 2, 417--439.

9.

Belaïd, Karim; Cherif, Bahri; Echi, Othman. On spectral binary relations. Commutative ring theory (Fès, 1995), 79--88, Lecture Notes in Pure and Applied Mathematics 185, Dekker, New York, 1997.

10.

Bouacida, Ezzeddine; Echi, Othman; Salhi, Ezzeddine. Nonfinite heights. Commutative ring theory (Fès, 1995), 113--130, Lecture Notes in Pure and Applied Mathematics 185, Dekker, New York, 1997.

11.

 Bouacida, Ezzeddine; Echi, Othman; Salhi, Ezzeddine. Foliations, spectral topology, and special morphisms. Advances in commutative ring theory (Fez, 1997), 111--132, Lecture Notes in Pure and Applied Mathematics 205, Dekker, New York, 1999.

12.

Ben Nasr, Mabrouk; Echi, Othman; Izelgue, Lahoucine; Jarboui, Noôman. Pairs of domains where all intermediate domains are Jaffard. Journal of Pure Applied Algebra 145 (2000), no. 1, 1--18.

13.

Ameziane, Souad; Echi, Othman; Yengui, Ihsen. Direct systems of localizations of polynomial rings. Acta Scientarum Mathematicarum (Szeged) 66 (2000), no. 3-4, 465--476.

14.

Bouacida, Ezzeddine; Echi, Othman; Salhi, Ezzeddine. Feuilletages et topologie spectrale. Journal of Mathematical Society of Japan 52 (2000), no. 2, 447--464.

15.

Echi, Othman. A topological characterization of the Goldman prime spectrum of a commutative ring. Communications in Algebra 28 (2000), no. 5, 2329--2337.

16.

Belaid, Karim; Cherif, Bahri; Echi, Othman. Quasi-spectral binary relations and ordered disjoint unions. Journal of Mathematical Sciences (Calcutta) 11 (2000), no. 2, 139--157.

17.

Ayache, Ahmed; Ben Nasr, Mabrouk; Echi, Othman; Jarboui, Noômen. Universally catenarian and going-down pairs of rings. Mathematische Zeitschtrif 238 (2001), no. 4, 695--731.

18.

Echi, Othman; Jarboui, Noômen. On residually integrally closed domains. Demonstratio Mathematica 36 (2003), no. 3, 543--550.

19.

Echi, Othman. Quasi-homeomorphisms, Goldspectral spaces and Jacspectral spaces. Bollettino della Union Matematica Italiana B Artic. Ric. Mat. (8) 6 (2003), no. 2, 489--507.

20.

Echi, Othman. Topological characterizations of some subspaces of a spectral space. Questions and Answers in General Topology 21 (2003), no. 2, 109--123.

21.

Bouacida, Ezzeddine; Echi, Othman; Picavet, Gabriel; Salhi, Ezzeddine. An extension theorem for sober spaces and the Goldman topology. International Journal of Mathematics and Mathematical Sciences 2003, no. 51, 3217--3239.

22.

Belaid, Karim; Echi, Othman; Gargouri, Riyadh. A-spectral spaces. Topology and its Applications 138 (2004), no. 1-3, 315--322.

23.

Belaid, Karim; Echi, Othman. On a conjecture about spectral sets. Topology and its Applications 139 (2004), no. 1-3, 1--15.

24.

Echi, Othman; Gargouri, Riyadh. An up-spectral space need not be A-spectral. New York Journal of Mathematics 10 (2004), 271--277.

25.

Belaid, Karim; Echi, Othman; Lazaar, Sami. -spaces and the Wallman compactification. International Journal of Mathematics and Mathematical Sciences 2004, no. 65-68, 3717--3735.

26.

Echi, Othman; Ito, Munehiko. Up-spectral spaces and A-spectral spaces. Questions and Answers in General Topology 23 (2005), no. 1, 15--26.

27.

Belaid, Karim; Echi, Othman; Gargouri, Two classes of locally compact sober spaces. International Journal of Mathematics and Mathematical Sciences 2005, no. 15, 2421--2427.

28.

Ayache, Ahmed; Echi, Othman. The envelope of a subcategory in topology and group theory. International Journal of Mathematics and Mathematical Sciences (2005), no. 21, 3387--3404.

29.

Ayache, Ahmed; Dobbs, David E.; Echi, Othman. Reflection of some quasi-local domains. Journal of Algebra and its Applications 5 (2006) n°2, 201--213.

30.

Ayache, Ahmed; Echi, Othman. Valuation and pseudo-valuation subrings of an integral domain. Communications in Algebra 34 (2006), 2467--2483.

31.

Ayache, Ahmed; Dobbs, David E.; Echi, Othman. Universal mapping properties of some pseudovaluation domains and related quasilocal domains. International Journal of Mathematics and Mathematical Sciences 2006, Art. ID 72589, 12 pp.

32.

Echi, Othman. On -spaces. Missouri Journal of Mathematical Sciences 18 (2006) n° 1, 54--60.

33.

Echi, Othman. Binomial coefficients and Nasir al-Din al-Tusi. Scientific Research and Essay Vol. 1 (2), pp. 028--032, November 2006.

34.

Echi, Othman. Networks of Morphisms. Missouri Journal of Mathematical Sciences 19 (2007) n°2, 93--105.

35.

Ayache, Ahmed; Dobbs, David E.; Echi, Othman. On Maximal non-accp Subrings Journal of Algebra and its Applications 6 (2007) n° 5, 873--894.

36.

Echi, Othman; Marzougui, Habib; Salhi, Ezzeddine, Problems from the Bizerte-Sfax-Tunis Seminar, in Open Problems in Topology II, E. Pearl ed., Elsevier, Amsterdam, 2007, pp. 669--674.

37.

Echi, Othman. Williams Numbers. Mathematical Reports of the Academy of Sciences of the Royal Society of Canada 29 (2007), n° 2, 41--47.

38.

Echi, Othman; Lazaar, Sami. Sober Spaces and Sober Sets. Missouri Journal of Mathematical Sciences 20 (2008), 60--72.

39.

Echi, Othman; Gargouri, Riyadh; Lazaar, Sami. On the Hochster Dual of a Topological space. Topology Proceedings 32 (2008), 153--166.

40.

Adams, M. E; Belaid, Karim; Dridi, Lobna; Echi, Othman. Submaximal Spaces and Spectral Spaces. Mathematical Proceedings of the Royal Irish Academy 108A (2008), 137--147.

41.

Echi, Othman; Naimi, Mongi. Primitive words and Spectral Spaces. New York Journal of Mathematics 14 (2008), 719--731.

42.

Echi, Othman; Lazaar, Sami. Universal Spaces, Tychonoff and Spectral Spaces. Mathematical Proceedings of the Royal Irish Academy 108A (2009), 35--47.

43.

Echi, Othman; Lazaar, Sami. Reflective subcategories, Tychonoff Spaces and Spectral Spaces. Topology Proceedings 34 (2009), 307--319.

44.

Echi, Othman. The Cardinality of a Sphere relative to an Edit Distance, Applied Mathematical Sciences 3 (2009), 813--824.

45.

Echi, Othman; Lazaar, Sami. Quasihomeomorphisms and Lattice Equivalent Topological Spaces. Applied General Topology 10 (2010), 227--237. 

46.

Bouallegue, Kais;  Echi,Othman; Pinch, Richard. Korselt numbers and sets. International Journal of Number Theory 6 (2010), 257--269.

47.

Echi, Othman and Mohammed Oueld Abdallahi, On the Spectralification of a Hemispectral Space, Journal of Algebra and its Applications 10 (2011), 687--699.

48.

Belaid, Karim; Dridi, Lobna; Echi, Othman. Submaximal and door compactifications. Topology and its Applications 158 (2011), 1969--1975.

49.

Echi, Othman; Ghanmi, Nejib. The Korselt Set of . International Journal of Number Theory 8 (2012), 299--309.

50.

Echi, Othman. The Categories of Flows of  and . Topology and its Applications 159 (2012), 2357--2366.

51.

Al-Hajri, Monerah; Belaid, Karim; Echi, Othman. Stone Spaces and Compactifications. Pure Mathematical Sciences 2 (2013), 75 -- 81.

52.

Al-Rasasi, Ibrahim; Echi, Othman; Ghanmi, Nejib. On the Korselt Set of a Squarefree Composite Number. Mathematical Reports of the Academy of Sciences of the Royal Society of Canada 35 (2013), 1--15.

 

 

 
 
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Last update: September, 2013