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Citations
** 63 non-self citations in 47 manuscripts by 37 authors: ** Numbers in square brackets below refer to the items in the list of Publications. ** Names of authors are given in alphabetical order.
Citations
in Preprints: ·
Q. Guo, S. Wang and X. Zhou,
"Weak Hopf Galois Extensions and Nikshych's Duality Theorem";
(Preprint 2008) Cited Paper: [4] ·
L. El Kaoutit, L. and J.
Gomez-Torrecillas, Coinduction functor and simple comodules (Preprint 2009)
arXiv: 0902.2116v1 Cited Paper: [5] 2009
(10
Non-self Citations) (47) T. Brzezinski, Comodules and
corings, Handbook of Algebra Vol 6, edited by M.
Hazewinkel, Elsevier, 2009, pp. 237-318. Cited
paper: [4[, [5], [8], [10], [14], [15] (46) L. El Kaoutit and J. Gomez-Torrecillas Corings
with Decomposition and Semiperfect Corings, Algebras and Representation Theory 12 (2009), 343–356.
Cited paper: [5] (45) 1) G. Böhm and J. Vercruysse, "Morita
Theory of Comodules"; Comm. Algebra 37 (9) (2009), 3207-3247. Cited
paper: [8] (44) (43) Yange Xu and Shouchuan Zhang, "Duality Theorem and Hom Functor in Braided Tensor Categories"; International Journal of Modern Mathematics 4 (2) (2009), 109-134. Cited papers: [4] 2008
(8
Non-self Citations) (42) L. El Kaoutit, "Wide Morita Contexts in Bicategories",
AJSE 33(2C) (December 2008), 153-174. Cited paper: [16] (41) P. Jara, L. Merino, G. Navarro and J F. Ruiz, Prime
path coalgebras, AJSE 33(2C) (December 2008), 273-284 Cited paper:
[14] (40) Q. Guo, (39) XL Fang
and DM Lu, Group Corings and (invertible) weak group entwining
structures, Comm. Algebra 36 (10), 3820-3841 (2008). Cited paper: [5] (38) L. El Kaoutit and J. Gómez-Torrecillas, "Corings with exact rational functors and injective objects"; "Modules and Comodules", T. Brzezinski et. al. (editors)", Trends in Mathematics, Birkhäuser (2008), 185-202. Cited paper: [5] (37) M. Iovanov and Vercruysse, J., "Co-Frobenius corings and adjoint functors"; J. Pure Appl. Algebra, 212(9) (2008), 2027-2058. Cited papers: [5], [9] (36) Bing-liang Shen and Shuan-hong Wang, Blattner-Cohen-Montgomery's
duality theorem for (weak) group smash products, Comm. Algebra, 36(6)
(2008), 2387-2409. Cited paper: [4]
2007 (13 Non-self Citations) (35) R. Al-Omary, "Coalgebras and Comodules",
M.Sc. Thesis, (34) G. Böhm, "Galois
extensions over commutative and non-commutative base, S. Caenepeel
(ed.) et al., New techniques in Hopf algebras and graded ring theory.
Selected papers of the congress, (33) G. Böhm and T. Brzezinski, "Pre-torsors and equivalences", J. Algebra 317 (2007), 544-580. Cited paper: [8] (32) Mrčun, J., "Sheaf coalgebras and duality", Topology and its Applications, 153(15) (2007), 2795–2812. Cited paper: [4] (31) (30) Vercruysse,
J., "Galois Theory for Corings and Comodules", Ph.D.
Dissertation, Vrije Universiteit (29) Gomez-Torrecillas, J. and Vercruysse, J., "Comatrix corings and Galois comodules over firm rings", Algebras and Representation Theory, 10(3) (2007), 271-306.Cited paper: [5] (28) Caenepeel, S., De Groot, E. and Vercruysse, J., "Galois Theory for Comatrix Corings: Descent Theory, Morita Theory, Frobenius and Separability Properties", Transactions of the American Mathematical Society 359 (2007), 185-226. Cited papers: [8], [9] (27) Bohm,
G. and Vercruysse, J., "Morita theory for coring
extensions and cleft bicomodules" Advances
in Mathematics 209 -------------------------------------------------------------------------------------------------- 2006 (6 Non-self Citation) (26) G. Böhm and T. Brzezinski, Cleft Extensions of Hopf Algebras, Applied Categorical Structures 14 (2006), pp. 431-469. Cited papers: [8] (25) Alonso Alvarez, W.N., Fernandez Vilaboa, J.M., Gonzalez Rodríguez, R. and Rodríguez Raposo, A.B., Weak C-cleft extensions and weak Galois extensions, J. Algebra, 299 (2006), pp. 267-293. Cited paper: [8] (24) Wang, Shuan-hong, "Morita Contexts, π-Galois Extensions for Hopf π-Coalgebras", Communications in Algebras, 34 (2006), pp. 521–546. Cited paper: [8] (23) W. Al-Sibyani, "Wide Morita Contexts", M.Sc.
thesis. KAAU, (22) Budi Surodjo, Setiadji and dan Sri Wahyuni, "Coalgebras of Formal Power Series Rings", Berkala MIPA, 16(1) (2006), pp. 19-26, Cited paper: [3] -------------------------------------------------------------------------------------------------- 2005 (8 Non-self Citations) (21) De Groot, E., "Comatrix corings applied to weak and partial Galois theory", Ph.D. dissertation, Vrije Universiteit Brussel (May 2005). Cited paper: [8] (20) Brzezinski,
T., "A Note on Coring Extensions", Annali dell'Universita' di Ferrara, sez. VII, Scienze Matematiche:
Joint Proceedings of " (19) Kurakin, V. L., "Hopf Algebras of Linear Recurring Sequences over Rings and Modules", Fundamental
and Applied Mathematics ( (18) Brzezinski,
T., Kadison, L. and Wisbauer, R., "On Coseparable and
Biseparable Corings", Hopf Algebras
in Noncommutative Geometry and Physics", S. Caenepeel and F. Van
Oystaeyen (eds.), Marcel Dekker, (17) Caenepeel,
S. and Vercruysse, J., "Rationality Properties for Morita Contexts
Associated to Corings", Hopf Algebras in Noncommutative Geometry
and Physics, S. Caenepeel and F. Van Oystaeyen (eds.), Marcel Dekker, (16) S.
Caenepeel and M. Iovanov, "Comodules over semiperfect corings",
Proceedings of the International Conference on Mathematics and its
Applications, ICMA 2004", S.L. Kalla and M.M. Chawla (Eds.), Kuwait
University, Kuwait Univ. Dep. Math.
Comput. (15) El
Kaoutit, L. and Gomez-Torrecillas, J., "Morita Duality for Corings
over Quasi-Frobenius Rings", Hopf Algebras in Noncommutative
Geometry and Physics", S. Caenepeel and F. Van Oystaeyen (eds.), Marcel
Dekker, -------------------------------------------------------------------------------------------------- 2004 (10 Non-self Citations) (14) Quo Guangquan, "The corings structure of dual ring", Journal of Chuzhou University, 6(4) (2004), pp. 90-92. Cited paper: [5] (13) El Kaoutit, E., J. Gomez-Torrecillas and Lobillo, J., "Cosemisimple Corings", Algebra Colloquium, 11(4) (2004), pp. 427-442. Cited paper: [5] (12) El Kaoutit, E., "Co-anillos y Categorías de
Co-módulos" (Spanish), Tesis Doctoral, (11) Caenepeel, S., "Galois Corings from the Descent Point of View", Galois Theory, Hopf Algebras and Semiabelian Categories, Fields Institute Communications, 43 (July 2004), pp. 163-186. Cited papers: [8], [5] (10) Caenepeel, S, Vercruysse, J. and Wang, S., "Morita Theory for Corings and Cleft Entwining Structures", Journal of Algebra. Vol. 276(1) (June 2004), pp. 210-235. Cited paper: [8] (9) Kurakin, V.L., "Hopf Algebras of Linear Recurring Sequences", Diskretnaya Matematika, Vol. 16 (2004), pp. 7-43; translated in Discrete Mathematics and Applications, 14(2) (April 2004), pp. 115-152. Cited papers: [3], [4] -------------------------------------------------------------------------------------------------- 2003 (6 Non-self Citations) (8) Brzezinski, T. & Wisbauer, R., "Corings and Comodules",
Lond. Math. Soc. Lec. Not. Ser., Vol. 309, (7) El Kaoutit, L. and Gomez-Torrecillas, J., "Comatrix corings: Galois Corings, Descent Theory, and a Structure Theorem for Cosemisimple Corings", Mathematische Zeitschrift, 244(4) (August 2003), pp. 887–906. Cited paper: [8] (6) Brzezinski, T., "The Structure of Corings with a Group-like Element", Noncommutative Geometry and Quantum Groups, Banach Centre Publications, 61 (2003), pp. 21-35. Cited paper: [5] (5) Brzezinski, T., "Towers of Corings", Communications in Algebra. Vol. 31, Num. 4 (2003), pp. 2015-2026. Cited paper: [5] (4) Castano Iglesias, F., Gomez-Torrecillas, J. and Wisbauer, R., "Adjoint Functors and Equivalences of Subcategories", Bulletin des Sciences Mathématiques, 127(5) (July 2003), pp. 379 395. Cited paper: [8] (3) Guo Guangquan and Chen Jianhua, "Integrals of Entwining structure",
JOURNAL
OF -------------------------------------------------------------------------------------------------- 2002 (2 Non-self Citations) (2) Kurakin, V.L., "A Hopf Algebra Dual to a Polynomial Algebra over a Commutative Ring", Rossiui skaya Akademiya Nauk. Matematicheskie Zametki. Vol. 71 (2002), pp. 677-685; translated in Mathematical Notes, 71(5-6) (May 2002), pp. 617-623. Translated from Cited paper: [3] (1) Wisbauer, R.,
"On the Category of Comodules for Corings, Mathematics and
Mathematics Education, Proceedings of the 3rd International
Palestinian Conference,
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