Prime submodules (modules) relative to an ideal

Inaam Mohammad  Ali; Maysoun A. Hamel

doi:10.5269/bspm.76333

Inaam Mohammad Ali
Maysoun A. Hamel University of Baghdad

Abstract

In this study, we present the concepts of prime submodules relative to an ideal and prime modules relative to an ideal. Let be a unital left -module. A proper submodule of is called prime submodule relative to a proper ideal of , if whenever , then either or . is named a prime module relative to provided (0) is a prime submodule relative to . Many properties of prime submodules (modules) relative to an ideal are given in this paper.

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