Results 61 to 70 of about 96 (80)

Comultiplication Modules over Noncommutative Rings

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Askar Tuganbaev
openaire   +3 more sources

Comultiplication modules relative to a hereditary torsion theory

Communications in Algebra, 2019
Let R be a commutative ring with identity and τ be a hereditary torsion theory on R-Mod. In this article, we introduce and study the concept of τ-comultiplication module.
Secil Ceken
openaire   +4 more sources

A Note on Comultiplication Modules

Algebra Colloquium, 2014
Let R be a commutative ring with identity. An R-module M is said to be a comultiplication module if for every submodule N of M, there exists an ideal I of R such that N=(0:M I). In this paper, we show: (1) If M is a comultiplication module and N is a copure submodule of M, then M/N is a comultiplication module.
Wang, Yongduo, Liu, Yang
openaire   +2 more sources

Comultiplication lattice modules

2015
Let 𝑀 be a lattice module over the multiplicative lattice 𝐿. 𝑀 is said to be a comultiplication 𝐿-module if for every element 𝑁 of 𝑀 there exists an element 𝑎∈𝐿such that 𝑁(0𝑀:𝑀𝑎. Our objective is to investigate properties of comultiplication lattice modules.
Callialp, F., Tekir, U., Ulucak, G.
openaire   +2 more sources

On weak-like comultiplication modules

Asian-European Journal of Mathematics, 2023
Let [Formula: see text] be a commutative ring and [Formula: see text] be an [Formula: see text]-module. In this paper, we introduce and obtain some results concerning weak-like comultiplication [Formula: see text]-modules, which is a dual notion of weak multiplication [Formula: see text]-modules.
openaire   +1 more source

On semiprime comultiplication modules over pullback rings

Colloquium Mathematicum, 2017
Summary: Following some ideas and a technique introduced in [Algebra Discrete Math. 2009, No. 1, 1--13 (2009; Zbl 1199.13010)] and [Colloq. Math. 120, No. 1, 23--42 (2010; Zbl 1205.13017)] we give a complete classification, up to isomorphism, of all indecomposable semiprime comultiplication modules with finite-dimensional top over a pullback of two ...
Ebrahimi Atani, R., Ebrahimi Atani, S., Hassani Karbasi, A.   +2 more
openaire   +2 more sources

On spectrum of comultiplication modules

Communications in Algebra, 2021
openaire   +1 more source

Homogeneous idealization and some dual notions around comultiplication modules

2017
Summary: Let \(R\) be a commutative ring with identity, and let \(M\) be a unital \(R\)-module. \textit{D. D. Anderson} and \textit{M. Winders} [J. Commut. Algebra 1, No. 1, 3--56 (2009; Zbl 1194.13002)] proved that a submodule \(N\) of \(M\) is multiplication if and only if \(0_{(+)}N\) is a multiplication ideal of \(R_{(+)}M\), the homogeneous ...
Jalal Abadi, Batool Zarei, Moghimi, Hosein Fazaeli   +1 more
openaire   +1 more source

Weak comultiplication modules over a pullback of commutative local Dedekind domains

2009
Summary: The goal point of recent attempts to classify indecomposable modules over non-artinian rings has been pullback rings. The purpose of this paper is to outline a new approach to the classification of indecomposable weak comultiplication modules with finite-dimensional top over certain kinds of pullback rings.
Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani   +1 more
openaire   +2 more sources

Some properties of s-multiplication modules and s-comultiplication modules

Let R be an associative ring with identity, and all modules be unitary right R- modules. In 2020, D. D. Anderson et al. introduced the concept of S-multiplication modules, which is a generalization of multiplication modules. Two years later, E. Yildiz et al.
openaire   +1 more source