APM  Vol.4 No.1 , January 2014
S-Injective Modules and Rings
Author(s) Nasr A. Zeyada1*
ABSTRACT

We introduce and investigate the concept of s-injective modules and strongly s-injective modules. New characterizations of SI-rings, GV-rings and pseudo-Frobenius rings are given in terms of s-injectivity of their modules.


Cite this paper
N. Zeyada, "S-Injective Modules and Rings," Advances in Pure Mathematics, Vol. 4 No. 1, 2014, pp. 25-33. doi: 10.4236/apm.2014.41004.
References
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[4]   M. F. Yousif and Y. Zhou, “Semi-Regular, Semi-Perfect and Perfect Rings Relative to an Ideal,” Rocky Mountain Journal of Mathematics, Vol. 32, No. 4, 2002, pp. 1651-1671. http://dx.doi.org/10.1216/rmjm/1181070046

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http://dx.doi.org/10.1007/978-1-4684-9913-1

[7]   M. F. Yousif, Y. Zhou and N. Zeyada, “On Pseudo-Frobenius rings,” Canadian Mathematical Bulletin, Vol. 48, No. 2, 2005, pp. 317-320. http://dx.doi.org/10.4153/CMB-2005-029-5

 
 
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