Results 81 to 90 of about 4,745 (95)

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
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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.
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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.
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On spectrum of comultiplication modules

Communications in Algebra, 2021
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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
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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
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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.
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Survey Article on Comultiplication Modules

Global Journal of Enterprise Information System, 2014
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On the Dual Notion of Prime Submodules (II)

Mediterranean Journal of Mathematics, 2011
Habibollah Ansari-Toroghy, Faranak Farshadifar   +1 more
exaly  

Multiplication and comultiplication of beliefs

International Journal of Approximate Reasoning, 2005
Audun Jøsang
exaly