Reversible elements in rings

Authors

  • Dilshad Alghazzawi Department of Mathematics, KAU University (Saudi Arabia) and Université d’Artois, France ROR

Keywords:

Reversible rings, Zero divisors, Right and left annihilators, Strongly π-regular rings

Abstract

We study some properties related to zero divisors and reversibility in noncommutative rings.

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References

P. M. Cohn, Reversible rings, Bull. London Math. Soc. 31(6) (1999) 641–648.

F. Dischinger, Sur les anneaux fortement $\pi$–réguliers, C. R. Acad. Sci. Paris Sér. A–B 283(8) (1976) A571–A573.

M. Gutan and A. Kisielewicz, Reversible group rings, J. Algebra 279(1) (2004) 255–279.

N. K. Kim and Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra 185(1–3) (2003) 207–223.

T. Y. Lam, A First Course in Noncommutative Rings, 2nd ed., Graduate Texts in Mathematics, vol. 131, Springer–Verlag, New York, 2001.

T. Y. Lam, Exercises in Classical Ring Theory, 2nd ed., Problem Books in Mathematics, Springer–Verlag, New York, 2003.

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Published

2017-05-15

How to Cite

Alghazzawi, D. (2017). Reversible elements in rings. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(2), 219–225. Retrieved from https://jacodesmath.com/index.php/jacodesmath/article/view/71

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