S-Injective Modules and Rings - Advances in Pure Mathematics

APM > Vol.4 No.1, January 2014

S-Injective Modules and Rings ()

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Download as PDF (Size: 224KB) PP. 25-33

DOI: 10.4236/apm.2014.41004 3,807 Downloads 6,639 Views Citations

Author(s)

Nasr A. Zeyada^1*

Affiliation(s)

¹Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt &Department of Mathematics, Faculty of Science, King Abdulaziz University, KSA.

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.

KEYWORDS

S-Injective Module; Kasch Ring; Pseudo Frobenius Ring

Share and Cite:

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.

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