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Reversible elements in rings

Year 2017, , 219 - 225, 09.01.2017

Dilshad Alghazzawi

https://doi.org/10.13069/jacodesmath.284972
Cited By: 1

Abstract

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

Keywords

Reversible rings Zero divisors Right and left annihilators Strongly $\pi$-regular rings

References

  • [1] P. M. Cohn, Reversible rings, Bull. London Math. Soc. 31(6) (1999) 641–648.
  • [2] F. Dischinger, Sur les anneaux fortement $\pi$-réguliers, C. R. Acad. Sci. Paris Sér. A–B 283(8) (1976) Aii A571–A573.
  • [3] M. Gutan, A. Kisielewicz, Reversible group rings, J. Algebra 279 (2004) 280–271.
  • [4] N. K. Kim, Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra, 185(1–3) (2003) 207–223.
  • [5] T. Y. Lam, A First Course in Noncommutative Rings, Graduate Texts in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1990.
  • [6] T. Y. Lam, Exercises in Classical Ring Theory, Problem Books in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1994.

Year 2017, , 219 - 225, 09.01.2017

Dilshad Alghazzawi

https://doi.org/10.13069/jacodesmath.284972
Cited By: 1

Abstract

References

  • [1] P. M. Cohn, Reversible rings, Bull. London Math. Soc. 31(6) (1999) 641–648.
  • [2] F. Dischinger, Sur les anneaux fortement $\pi$-réguliers, C. R. Acad. Sci. Paris Sér. A–B 283(8) (1976) Aii A571–A573.
  • [3] M. Gutan, A. Kisielewicz, Reversible group rings, J. Algebra 279 (2004) 280–271.
  • [4] N. K. Kim, Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra, 185(1–3) (2003) 207–223.
  • [5] T. Y. Lam, A First Course in Noncommutative Rings, Graduate Texts in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1990.
  • [6] T. Y. Lam, Exercises in Classical Ring Theory, Problem Books in Mathematics, Springer Verlag, New York, Berlin, Heidelberg, 1994.
There are 6 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Dilshad Alghazzawi This is me

Publication Date January 9, 2017
Published in Issue Year 2017

Cite

APA Alghazzawi, D. (2017). Reversible elements in rings. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(2 (Special Issue: Noncommutative rings and their applications), 219-225. https://doi.org/10.13069/jacodesmath.284972
AMA Alghazzawi D. Reversible elements in rings. Journal of Algebra Combinatorics Discrete Structures and Applications. May 2017;4(2 (Special Issue: Noncommutative rings and their applications):219-225. doi:10.13069/jacodesmath.284972
Chicago Alghazzawi, Dilshad. “Reversible Elements in Rings”. Journal of Algebra Combinatorics Discrete Structures and Applications 4, no. 2 (Special Issue: Noncommutative rings and their applications) (May 2017): 219-25. https://doi.org/10.13069/jacodesmath.284972.
EndNote Alghazzawi D (May 1, 2017) Reversible elements in rings. Journal of Algebra Combinatorics Discrete Structures and Applications 4 2 (Special Issue: Noncommutative rings and their applications) 219–225.
IEEE D. Alghazzawi, “Reversible elements in rings”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 2 (Special Issue: Noncommutative rings and their applications), pp. 219–225, 2017, doi: 10.13069/jacodesmath.284972.
ISNAD Alghazzawi, Dilshad. “Reversible Elements in Rings”. Journal of Algebra Combinatorics Discrete Structures and Applications 4/2 (Special Issue: Noncommutative rings and their applications) (May 2017), 219-225. https://doi.org/10.13069/jacodesmath.284972.
JAMA Alghazzawi D. Reversible elements in rings. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4:219–225.
MLA Alghazzawi, Dilshad. “Reversible Elements in Rings”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 2 (Special Issue: Noncommutative rings and their applications), 2017, pp. 219-25, doi:10.13069/jacodesmath.284972.
Vancouver Alghazzawi D. Reversible elements in rings. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4(2 (Special Issue: Noncommutative rings and their applications):219-25.

Cited By

Commutatively closed sets in rings
Communications in Algebra
https://doi.org/10.1080/00927872.2018.1513011