International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 151 | Views: 222

Research Paper | Mathematics | Iraq | Volume 7 Issue 3, March 2018


S-nearly Semiprime Submodules and Some Related Concept

Mohammed B. H. Alhakeem


Abstract: Let R be a commutative ring with unity and N be a submodule of anon zero left R-moduleM, N is called S-nearly semiprime submodule if whenever f^2 (m) N, for some fEnd (M) and mM, then f (m) N, we mean f^2 is ff. We will give many results of this type of submodules. In this search, we introduce and study the concepts of S-nearly semiprime submodules and some other related notions. We will study the relationship between the properties of S-nearly semiprime submodules and classes of the other module


Keywords: semiprime submodule, nearly semiprime submodule S- semiprime submodule, S-nearly semiprime submodule, projective and multiplication module


Edition: Volume 7 Issue 3, March 2018,


Pages: 196 - 198


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