Title of article :
ON ALMOST S-PRIME SUBMODULES
Author/Authors :
Farzalipour ، F. Department of Mathematics - Payame Noor University , Ghaseminejad ، R. Department of Mathematics - Payame Noor University , Sayedsadeghi ، M. S. Department of Mathematics - Payame Noor University
Abstract :
The aim of this paper is to introduce and investigate some properties of the notion of almost S-prime submodules, especially in multiplication modules. Moreover, we investigate the behaviour of this structure under module homomorphisms, localizations, quotient modules, Cartesian product. Finally, we state two kinds of submodules of the amalgamation module along an ideal and investigate conditions under which they are almost S- prime.
Keywords :
S , prime submodule , almost S , prime submodule , multiplication module.
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics