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ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS

Year 2013, Volume: 14 Issue: 14, 10 - 18, 01.12.2013
https://izlik.org/JA92PL32ET

Abstract

We prove that a left GP-V -ring is right non-singular. We also give some properties of left GP-V0-rings. Some characterizations of strongly regular rings and biregular rings are also given.

References

  • H.E. Abulkheir and G.F. Birkenmeier, Right complement bounded semiprime rings, Acta. Math. Hungar., 70(3) (1996), 227-235.
  • J. Chen and N. Ding, On regularity of rings, Algebra Colloq., 8(3) (2001), 274.
  • X. Guangshi, On GP -V -rings and characterizations of strongly regular rings, Northeast. Math. J., 18(4) (2002), 291-297.
  • Y. Hirano and H. Tominaga, Regular rings, V -rings and their generalizations, Hiroshima Math. J., 9 (1979), 137-149.
  • M. B. Rege, On von Neumann regular rings and SF -rings, Math. Japonica, (6) (1986), 927-936.
  • T. Subedi and A.M. Buhphang, On weakly regular rings and generalizations of V -rings, Int. Electron. J. Algebra, 10 (2011), 162-173.
  • R. Yue Chi Ming, On von Neumann regular rings, Proc. Edinburgh Math. Soc., 19 (1974), 89-91.
  • R. Yue Chi Ming, On quasi injectivity and von Neumann regularity, Monatsh. Math., 95 (1983), 25-32.
  • R. Yue Chi Ming, On biregularity and regularity, Comm. Algebra, 20 (1992), 759.
  • R. Yue Chi Ming, On injectivity and p-injectivity, II, Soochow J. Math., 21 (1995), 401-412.
  • R. Yue Chi Ming, On rings close to regular and p-injectivity, Comment. Math. Univ. Carolin., 47(2) (2006), 203-212.
  • H. Zhou, Left SF -rings and regular rings, Comm. Algebra, 35 (2007), 3842- Tikaram Subedi
  • Department of Mathematics National Institute of Technology Meghalaya Shillong, India. email: tsubedi2010@gmail.com A. M. Buhpang
  • Department of Mathematics North Eastern Hill University Shillong, India. e-mail: ardeline17@gmail.com

Year 2013, Volume: 14 Issue: 14, 10 - 18, 01.12.2013
https://izlik.org/JA92PL32ET

Abstract

References

  • H.E. Abulkheir and G.F. Birkenmeier, Right complement bounded semiprime rings, Acta. Math. Hungar., 70(3) (1996), 227-235.
  • J. Chen and N. Ding, On regularity of rings, Algebra Colloq., 8(3) (2001), 274.
  • X. Guangshi, On GP -V -rings and characterizations of strongly regular rings, Northeast. Math. J., 18(4) (2002), 291-297.
  • Y. Hirano and H. Tominaga, Regular rings, V -rings and their generalizations, Hiroshima Math. J., 9 (1979), 137-149.
  • M. B. Rege, On von Neumann regular rings and SF -rings, Math. Japonica, (6) (1986), 927-936.
  • T. Subedi and A.M. Buhphang, On weakly regular rings and generalizations of V -rings, Int. Electron. J. Algebra, 10 (2011), 162-173.
  • R. Yue Chi Ming, On von Neumann regular rings, Proc. Edinburgh Math. Soc., 19 (1974), 89-91.
  • R. Yue Chi Ming, On quasi injectivity and von Neumann regularity, Monatsh. Math., 95 (1983), 25-32.
  • R. Yue Chi Ming, On biregularity and regularity, Comm. Algebra, 20 (1992), 759.
  • R. Yue Chi Ming, On injectivity and p-injectivity, II, Soochow J. Math., 21 (1995), 401-412.
  • R. Yue Chi Ming, On rings close to regular and p-injectivity, Comment. Math. Univ. Carolin., 47(2) (2006), 203-212.
  • H. Zhou, Left SF -rings and regular rings, Comm. Algebra, 35 (2007), 3842- Tikaram Subedi
  • Department of Mathematics National Institute of Technology Meghalaya Shillong, India. email: tsubedi2010@gmail.com A. M. Buhpang
  • Department of Mathematics North Eastern Hill University Shillong, India. e-mail: ardeline17@gmail.com
There are 14 citations in total.

Details

Other ID JA83PR87ZF
Authors

Tikaram Subedi This is me

Ardeline Mary Buhphang This is me

Publication Date December 1, 2013
IZ https://izlik.org/JA92PL32ET
Published in Issue Year 2013 Volume: 14 Issue: 14

Cite

APA Subedi, T., & Buhphang, A. M. (2013). ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS. International Electronic Journal of Algebra, 14(14), 10-18. https://izlik.org/JA92PL32ET
AMA 1.Subedi T, Buhphang AM. ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS. IEJA. 2013;14(14):10-18. https://izlik.org/JA92PL32ET
Chicago Subedi, Tikaram, and Ardeline Mary Buhphang. 2013. “ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS”. International Electronic Journal of Algebra 14 (14): 10-18. https://izlik.org/JA92PL32ET.
EndNote Subedi T, Buhphang AM (December 1, 2013) ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS. International Electronic Journal of Algebra 14 14 10–18.
IEEE [1]T. Subedi and A. M. Buhphang, “ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS”, IEJA, vol. 14, no. 14, pp. 10–18, Dec. 2013, [Online]. Available: https://izlik.org/JA92PL32ET
ISNAD Subedi, Tikaram - Buhphang, Ardeline Mary. “ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS”. International Electronic Journal of Algebra 14/14 (December 1, 2013): 10-18. https://izlik.org/JA92PL32ET.
JAMA 1.Subedi T, Buhphang AM. ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS. IEJA. 2013;14:10–18.
MLA Subedi, Tikaram, and Ardeline Mary Buhphang. “ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS”. International Electronic Journal of Algebra, vol. 14, no. 14, Dec. 2013, pp. 10-18, https://izlik.org/JA92PL32ET.
Vancouver 1.Tikaram Subedi, Ardeline Mary Buhphang. ON STRONGLY REGULAR RINGS AND GENERALIZATIONS OF V-RINGS. IEJA [Internet]. 2013 Dec. 1;14(14):10-8. Available from: https://izlik.org/JA92PL32ET