ON
DOI:
https://doi.org/10.25212/lfu.qzj.3.1.47Keywords:
Abstract
In this paper we investigate the SF-rings over γregular rings and the relations between them. Moreover, we impose some conditions to obtain an interesting property of SSF-rings over γ-regular rings.
Downloads
References
CohnP. M., Reversible rings, Bull. London Math.Soc., 31(1), (1999), pp.641-648.
J. Zhang and X. Du, Left SF- rings whose complement left ideals are ideals, Acta Math. Vietnamica, 17 (1992), pp.157-159.
Kim N. K. and Lee Y. (2003), Extensions of reversible rings, Journal of Pure and Applied Algebra 185, pp. 207-223 .
Kim N. K., Nam S. B. and Kim J. Y.,On simple singular GP-injective modules, Comm. Algebra, 27(5), (1999), pp.2087-2096.
Lam T. Y., Exercises in Classical Ring Theory, Springer-Verlag, New York Berlin Heidelberg, (2000).
Liang L. Wang L. and Liu Z., On a generalization of semicommutative rings,Taiwanese J. of Math., 11(5), (1999), pp.1359-1368.
Mahmood R. D. and Abdul-Jabbar A. M., On rings whose simple singular R-modules are flat (I), Raf. J. of Comp. Sc. and Math., 7(1), (2010), pp.51-57.
Mohammad A. J. and Salih S. M. , On γ -regular rings", J. Edu. Sci., 18(4), (2006), pp.118-139.
Neumann J.V. , Regular Rings , Proc. Nat. Acad. Sci. U.S.A. Vol. 22(1936) ,pp. 707-7130.
NicholsonW. K. and Yousif M. F.,Weakly continuous and C2-rings,Comm. Algebra, 29(6), (2001), pp.2429-2446.
Rege M. B., On Von Neumann regular rings and SF-rings, Math. Japonica, 31(6), (1986), pp.927- 936.
R. Yue Chi Ming, On von Neumann regular rings, XV . Acta Math. Vietnamica 23 (1988),pp.71- 79.
Subedi T. and Buhphang A. M. , On SF-rings and Regular Rings , KYUNGPOOK Math. J. 53(2013), pp.397-406.
Vasantha Kandasamy W.B. , On Quasi-Commutative Rings , Aribb. J. Math. Comput. Sci.Vol. 5 , No. 1&2(1995) , pp.22-24 .
V. S. Rammurthi ,On the injectivity and flatness of certain cyclic Modules , Proc. Amer. Math. Soc. , 48(1975) , 21-25 .
Y. Xiao , On sided SF-ring with certain chain condition , canad. Math. Bull. , 37(2)(1994), pp.272-277 .
ZHOW Y. and WEI J. , Generalized weakly central reduced rings , Turk J Math. , 39(2015) ,pp. 604 – 617.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 Nazar H. Shuker, Dina A. Basheer, Shaimaa S. Esa
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Qalaai Zanist Journal allows the author to retain the copyright in their articles. Articles are instead made available under a Creative Commons license to allow others to freely access, copy and use research provided the author is correctly attributed.
Creative Commons is a licensing scheme that allows authors to license their work so that others may re-use it without having to contact them for permission
