Let R be an arbitrary ring. A nonzero unital right R-module M is called a second module if M
and all its nonzero homomorphic images have the same annihilator in R. It is proved that if R …

arXiv:1609.08054v1 [math.AC] 26 Sep 2016 Page 1 arXiv:1609.08054v1 [math.AC] 26 Sep
2016 1 SOME GENERALIZATIONS OF SECOND SUBMODULES H. ANSARI-TOROGHY AND …

This is the first in a series of papers highlighting the applications of reduced and coreduced
modules. Let R be a commutative unital ring and I be an ideal of R. We show that I-reduced …

Let R be a commutative ring with identity, S a multiplicatively closed subset of R, and M be
an R-module. The aim of this article is to introduce and investigate some properties of the …

In this paper we present the concepts of Nearly 2-Absorbing fuzzy submodules and Weakly
Nearly 2-Absorbing fuzzy submodules as popularizations of 2-Absorbing fuzzy submodules …

S-second submodules of a module Page 1 © Algebra and Discrete Mathematics RESEARCH
ARTICLE Volume 32 (2021). Number 2, pp. 197ś210 DOI:10.12958/adm1437 S-second …

Let R be a commutative ring and M an R-module. Let Spec^ s (M) S pecs (M) be the
collection of all second submodules of M. In this article, we consider a new topology on …

The concept of comultiplication (as a dual notion of multiplication) modules was introduced
and studied by H. Ansari-Toroghy and F. Farshadifar in 2007. This notion has obtained a …

Let R be a commutative ring. In this paper, we study the annihilatorideal-based zero-divisor
graph by replacing the ideal I of R with the idealAnnR (M) for an R-module M. Also, we …

arXiv:2210.12479v1 [math.AC] 22 Oct 2022 Page 1 arXiv:2210.12479v1 [math.AC] 22 Oct 2022
FINITELY GENERATED COREDUCED COMULTIPLICATION MODULES F. FARSHADIFAR …