Reversible elements in rings
Keywords:
Reversible rings, Zero divisors, Right and left annihilators, Strongly π-regular ringsAbstract
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 piπ-réguliers, C. R. Acad. Sci. Paris Sér. A–B 283(8) (1976) Aii A571–A573.
M. Gutan, A. Kisielewicz, Reversible group rings, J. Algebra 279 (2004) 280–271.
N. K. Kim, 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, Graduate Texts in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1990.
T. Y. Lam, Exercises in Classical Ring Theory, Problem Books in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1994.
F. Dischinger, Sur les anneaux fortement piπ-réguliers, C. R. Acad. Sci. Paris Sér. A–B 283(8) (1976) Aii A571–A573.
M. Gutan, A. Kisielewicz, Reversible group rings, J. Algebra 279 (2004) 280–271.
N. K. Kim, 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, Graduate Texts in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1990.
T. Y. Lam, Exercises in Classical Ring Theory, Problem Books in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1994.
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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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