Some Publications                              
                                   
                                   
1   On n-absorbing rings and ideals, to appear in Colloq. Math.                              
                                   
2   (With A. Umar) Lattice paths and partial order-preserving transformations, to appear in Utilitas Math.                              
                                   
3   Sums of totally positive functions of order 2 and applications, Statistics and Probability Letters 105 (2015), 176-180                              
                                   
4   (With A. Umar) Combinatorial results for semigroups of order-preserving or order-reversing subpermutations, J. Difference Equ. Appl. 21 (2015), 269-283.                            
                                   
5   (With H. Azad and T. Mustafa) Polynomial solutions of certain differential equations arising in physics, Math. Methods Appl. Sci. 36 (2013), 1615-1624.                            
                                   
6   (With A. Umar) On the number of subpermutations with fixed orbit size, Ars Combinatoria 109 (2013), 447-460.                              
                                   
7   (With M. Mignotte and N. Tzanakis) Elementary trigonometric sums related to quadratic residues, Elemente der Math. 67 (2012), 51-60.                              
                                   
8   (With A.H. Joarder and M.H. Omar) On some characteristics of bivariate chi-square distribution, Statistics 46 (2012), 577-586                              
                                   
9   (With A. Umar) Some combinatorial properties of the symmetric monoid, Internat. J. Algebra Comput. 21 (2011), 857-865.                              
                                   
10   Characterizations of chain conditions on finite matrix subgroups, Communications in Algebra 39 (2011), 3104-3113.                              
                                   
11   (With M. Mignotte and N. Tzanakis) On  px^2 + qy^{2n} = y^p and related Diophantine equations, Journal of Number Theory 131 (2011), 1575-1596.                              
                                   
12   (With H. Azad and T. Mustafa) Polynomial solutions of differential equations, Advances in Difference Equations 58 (2011), 12 pp.                              
                                   
13   Projectivity of countable direct products, Algebr. Represent. Theory 13 (2010), 719-722.                              
                                   
14   (With S. Junaidu and A. Umar) Powers of integers as sums of consecutive odd numbers, The Mathematical Gazette (UK) 94 (2010), 117-119.                              
                                   
15   Compactness via equivalence relations, to appear in Algebra Universalis                              
                                   
16   (With A. Umar) Combinatorial results for the symmetric inverse semigroup, Semigroup Forum 75 (2007), 221--236.
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17   (With A. Umar) Combinatorial results for semigroups of order-preserving full transformations, Semigroup Forum 72 (2006), 51-62.                              
                                   
18   (With H. Azad and A. Qadir) Focusing surfaces, The Mathematical Gazette 90 (2006), 404-411.                              
                                   
19   (With A. Umar) Asymptotic results for semigroups of order-preserving partial transformations, Communications in Algebra 34 (2006), 1071-1075.                              
                                   
20   (With A.H. Joarder) Inequalities among some measures of location, Communications in Statistics: Theory and Methods 35 (2006), 1963-1970.                              
                                   
21   (With A.H. Joarder) Algebraic inequalities for measures of dispersion, Journal of Probability and Statistical Science 3 (2005), 317-326.                              
                                   
22   On a problem of Fuchs and Salce, Communications in Algebra 33 (2005), 1193-1194.                              
                                   
23   (With A. Umar) Combinatorial results for semigroups of order-preserving partial transformations, Journal of Algebra 278 (2004), 342-359.                              
                                   
24   (With A. Umar) Combinatorial results for semigroups of order-decreasing partial transformations, Journal of Integer Sequences 7 (2004), Article 04.3.8, 14pp.                             
                                   
25   (With A. Umar) On the number of nilpotents in the partial symmetric semigroup, Communications in Algebra 32 (2004), 3017-3023.                              
                                   
26   (With A. Umar) On certain finite semigroups of order-decreasing transformations I, Semigroup Forum 69 (2004), 184-200.                              
                                   
27   (With H. Azad) Some impossible constructions in elementary geometry, The Mathematical Gazette 88 (2004), 548-551.                              
                                   
28   Inverse limits of algebras as retracts of their direct products, Proc. Amer. Math. Soc. 131 (2003), 1007-1010.