Open AccessOn Small Semiprime Submodules
Author(s) -
Haider A. Ramadhan,
Nuhad S. Al. Mothafar
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1818/1/012142
Subject(s) - semiprime , semiprime ring , generalization , mathematics , commutative property , pure mathematics , multiplication (music) , commutative ring , identity (music) , arithmetic , combinatorics , prime (order theory) , mathematical analysis , philosophy , aesthetics
Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules. We investigate some basis properties of small semiprime submodules and give some characterizations of them, especially for (finitely generated faithful) multiplication modules.