Open AccessON Socale-Prime Submodules
Author(s) -
Haithab A. Shahad,
Nuhad S. Al-Muthafar
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 - 10.1088/1742-6596/1818/1/012202
Subject(s) - prime (order theory) , mathematics , commutative ring , identity (music) , zero (linguistics) , arithmetic , commutative property , combinatorics , discrete mathematics , physics , philosophy , linguistics , acoustics
Let R be a commutative with non-zero identity, let A be a R-module. In this paper submodule H of an R-module A to be Soc-prime if whenever r ∈ R, a ∈ A with ≤ Soc(A) and ra ∈ H then either a ∈ H or r ∈ [H: A]. We give a number of characterizations of Soc-prime submodules.