Now showing items 1-2 of 2
1-absorbing primary submodules
(OVIDIUS UNIV PRESS, 2021)
Let R be a commutative ring with non-zero identity and M be a unitary R-module. The goal of this paper is to extend the concept of 1-absorbing primary ideals to 1-absorbing primary submodules. A proper submodule N of M is ...
On Weakly 1-Absorbing Primary Ideals of Commutative Rings
(WORLD SCIENTIFIC PUBL CO PTE LTD, JUN 2022)
Let R be a commutative ring with 1 not equal 0. We introduce the concept of weakly 1-absorbing primary ideal, which is a generalization of 1-absorbing primary ideal. A proper ideal I of R is said to be weakly 1-absorbing ...