S-nearly Semiprime Submodules and Some Related Concept
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
How to Cite?: Mohammed B. H. Alhakeem, "S-nearly Semiprime Submodules and Some Related Concept", Volume 7 Issue 3, March 2018, International Journal of Science and Research (IJSR), Pages: 196-198, https://www.ijsr.net/getabstract.php?paperid=ART2018527, DOI: https://dx.doi.org/10.21275/ART2018527