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Reversible elements in rings

Year 2017, Volume: 4 Issue: 2 (Special Issue: Noncommutative rings and their applications), 219 - 225, 09.01.2017

Dilshad Alghazzawi

https://doi.org/10.13069/jacodesmath.284972

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, Volume: 4 Issue: 2 (Special Issue: Noncommutative rings and their applications), 219 - 225, 09.01.2017

Dilshad Alghazzawi

https://doi.org/10.13069/jacodesmath.284972

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 Volume: 4 Issue: 2 (Special Issue: Noncommutative rings and their applications)

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.