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ISSN: 2333-9721
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JGP-Ring

DOI: 10.4236/oalib.1105626, PP. 1-4

Subject Areas: Algebra

Keywords: GP-Ideal, J-Regular, Reduced Rings, Right Almost J-Injective Rings

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Abstract

A Ring R is called right JGP-ring; if for every a ∈ J (R), r (a) is a left GP-ideal. In this paper, we first introduced and characterize JGP-ring, which is a proper generalization of right GP-ideal. Next, various properties of right JGP-rings are developed; many of them extend known results.

Cite this paper

Majeid, E. S. and Mahmood, R. D. (2019). JGP-Ring. Open Access Library Journal, 6, e5626. doi: http://dx.doi.org/10.4236/oalib.1105626.

References

[1]  Mahmood, R.D. (2000) On Pure Ideals and Pure Sub Modules. Ph.D. Thesis, Mosul University, Mosul.
[2]  Cohn, P.M. (1999) Reversible Rings. Bulletin of the London Mathematical Society, 31, 641-648. https://doi.org/10.1112/S0024609399006116
[3]  Chang, L. and Soo, Y.P. (2018) When Nilpotents Are Contained in Jacobson Radicals. Journal of the Korean Mathematical Society, 55, 1193-1205.
[4]  Rege, M.B. (1986) On Von Neumann Rings and SF-Ring. Mathematica Japonica, 31, 927-936.
[5]  Zhao, Y. and Zhou, S.J. (2011) On JPP-Ring, JPF-Rings and J-Regular Rings. Interna-tional Mathematical Forum, 6, 1691-1696.
[6]  Mahmood, R.D. (2013) On Almost J-Injectivity and J-Regularity of Rings. Tikrit Journal of Pure Science, 18, 206-210.

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