Book: Cyclic Modules and the Structure of Rings, Oxford Mathematical Monographs, Oxford University Press, 2012 (with S. K. Jain and Askar Tuganbaev).
Published Papers:
35. Schroeder-Bernstein problem for modules, preprint (with Pedro A. Guil Asensio and Berke Kalebogaz).
34. V-rings versus $\Sigma$-$V$ rings, preprint (with B. Davvaz, and Zahra Nazemian).
33. Theory of partial morphisms, preprint (with Pedro A. Guil Asensio and Berke Kalebogaz).
32. Modules invariant under monomorphisms of their envelopes, preprint (with Pedro A. Guil Asensio and D. Keskin Tutuncu)
31. Additive unit structure of endomorphism rings and invariance of modules under endomorphisms of their covers and envelopes, submitted (with Pedro A. Guil Asensio and T. C. Quynh).
30. A note on group algebras of locally compact groups, AMS Contemporary Math, volume in honor of Don Passman, to appear.
29. Additive representations of elements in rings: A survey, Advances in Algebra and its Applications, Springer Proceedings in Mathematics and Statistics, 2016, to appear.
28. Modules which are coinvariant under automorphisms of their projective covers, Journal of Algebra, 2016, to appear (with Pedro A. Guil Asensio, Derya Keskin Tutuncu, Berke Kalebogaz).
27. New characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture, Israel Journal of Mathematics, 2016, to appear (with Pedro A. Guil Asensio and S. Sahinkaya).
26. Rings with each right ideal automorphism-invariant, Journal of Pure and Applied Algebra, 220, 4 (2015), 1525-1537 (with M. Tamer Kosan and T. C. Quynh).
25. Modules invariant under automorphisms of their covers and envelopes, Israel Journal of Mathematics, 206, 1 (2015), 457-482 (with Pedro A. Guil Asensio, Derya Keskin Tutuncu).
24. Automorphism-invariant modules, Noncommutative rings and their applications, Contemp. Math., Amer. Math. Soc. 634 (2015), 19-30 (with Pedro A. Guil Asensio).
23. Additive unit representations in endomorphism rings and an extension of a result of Dickson and Fuller , Ring Theory and Its Applications, Contemp. Math., Amer. Math. Soc. 609 (2014), 117-121 (with Pedro A. Guil Asensio).
22. Rings of invariant module type and automorphism-invariant modules , Ring Theory and Its Applications, Contemp. Math., Amer. Math. Soc. 609 (2014), 299-311 (with S. Singh).
21. Automorphism-invariant modules satisfy the exchange property , Journal of Algebra, 388 (2013), 101-106 (with Pedro A. Guil Asensio).
20. Decomposing elements of a right self-injective ring , J. Algebra and Appl. 12, 6 (2013), 10 pages (with Feroz Siddique).
19. Rings and modules which are stable under automorphisms of their injective hulls , Journal of Algebra, 379 (2013), 223-229 (with Noyan Er and S. Singh).
18. Cyclic Modules and the Structure of Rings, Oxford Mathematical Monographs, Oxford University Press, 2012 (with S. K. Jain and Askar Tuganbaev).
17. Dual automorphism-invariant modules , Journal of Algebra, 371 (2012), 262-275 (with S. Singh).
16. On $\Sigma$-V Rings, Communications in Algebra, 39, 7 (2011), 2430-2436.
15. Erratum: Generalized Group Algebras of Locally Compact Groups, Communications in Algebra, Volume 38, Issue 10 (2010), page 3974 (with S. K. Jain and A. I. Singh).
14. A Survey of Rings Generated by Units , Annales de la Facult'e des Sciences de Toulouse Math'ematiques, Volume 19, No. S1 (volume in honor of Mel Henriksen), (2010), 203-213.
13. Direct Sums of Injective and Projective Modules , Journal of Algebra, 324 (2010), 1429-1434 (with Pedro A. Guil Asensio and S. K. Jain).
12. On Unit-Central Rings, Advances in Ring Theory, Trends in Mathematics (volume in honor of S. K. Jain), Birkhauser Verlag (2010), 205-212. (with G. Marks and D. Khurana).
11. Shorted Operators Relative to a Partial Order in a Regular Ring , Communications in Algebra, Vol. 37, Number 11 (2009), 4141-4152 (with S. K. Jain, B. Blackwood and K. M. Prasad).
10. On $\Sigma$-q Rings , Journal of Pure and Applied Algebra 213 (2009), 969-976 (with S. K. Jain and S. Singh).
9. Generalized Group Algebras of Locally Compact Groups, Communications in Algebra, 36, 9 (2008), 3559-3563 (with S. K. Jain and A. I. Singh).
8. On multicolour noncomplete Ramsey graphs of star graphs, Discrete Applied Mathematics, 156 (2008), 2423-2428 (with S. Gautam and A. Tripathi).
7. The Monochromatic Column Problem, Discrete Mathematics, Vol 308, No 17 (2008), 3906-3916 (with S. Szabo).
6. Essential Extensions of a Direct Sum of Simple Modules-II, Modules and Comodules, Trends in Mathematics (volume in honor of Wisbauer), Birkhauser (2008), 243-246 (with S. K. Jain).
5. New Characterization of $\Sigma$-injective Modules, Proc. Amer. Math. Soc., Vol 316, No 10 (2008), 3461-3466 (with S. K. Jain and K. I. Beidar).
4.
Unit Sum Numbers of Right Self-injective Rings , The Bulletin of Australian Mathematical Society, Vol 75, No 3 (2007), 355-360, (with D. Khurana).
3. Right Self-Injective Rings in Which Every Element is Sum of Two Units, Journal of Algebra and Appl., Vol 6, No 2 (2007), 281-286, (with D. Khurana).
2. Rings characterized by properties of direct sums of modules and on rings generated by units, Ph.D. dissertation, Ohio University, Athens, Ohio, 2007.
1.
Essential Extensions of a Direct Sum of Simple Modules
, Contemporary Mathematics, 420, Groups, Rings and Algebras (volume in honor of Don Passman), Amer. Math. Soc. (2006), 15-23, (with S. K. Jain and K. I. Beidar).
|
