Weakly classical 1-absorbing primary submodules

Asian-European Journal of Mathematics 2026

View at publisher
Authors: Ece Yetki̇n Çeli̇kel, Bayram Alì Ersoy, Ünsal Teki̇̀r, Zeynep Yılmaz Uçar, Serkan Onar
DOI: 10.1142/s1793557126500142
Cited by: 0
References: 18

Abstract

In this paper, we introduce weakly classical 1-absorbing primary submodules of an unital module over a commutative ring with nonzero identity. Consider [Formula: see text] as a module over a ring [Formula: see text]. A proper submodule [Formula: see text] of [Formula: see text] is called weakly classical 1-absorbing primary submodule, if for each nonunit [Formula: see text] and [Formula: see text] with [Formula: see text], it follows that either [Formula: see text] or [Formula: see text] for some [Formula: see text]. Various properties and characterizations of weakly classical 1-absorbing primary submodules are explored.

Fields of Study & Subjects

Rings Modules and Algebras Advanced Topics in Algebra Commutative Algebra and Its Applications

Publication details

Journal / source
Asian-European Journal of Mathematics
Volume
19
Issue
12
Publication date
30 January 2026
Language
EN