Results 11 to 20 of about 4,745 (95)
Classification of 1-absorbing comultiplication modules over a pullback ring [PDF]
Categories and General Algebraic Structures with Applications, 2023 One of the aims of the modern representation theory is to solve classification problems for subcategories of modules over a unitary ring R. In this paper, we introduce the concept of 1-absorbing comultiplication modules and classify 1-absorbing ...
Farkhondeh Farzalipour, Peyman Ghiasvand
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Some properties of graded comultiplication modules
Open Mathematics, 2017 Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Al-Zoubi Khaldoun, Al-Qderat Amani
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ON COMULTIPLICATION AND R-MULTIPLICATION MODULES [PDF]
Journal of Algebraic Systems, 2014 We state several conditions under which comultiplication and weak comultiplication modulesare cyclic and study strong comultiplication modules and comultiplication rings.
Ashkan Nikseresht, Habib Sharif
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On $S$-comultiplication modules
Turkish Journal of Mathematics, 2022 Summary: Let \(R\) be a commutative ring with \(1\neq0\) and \(M\) be an \(R\)-module. Suppose that \(S\subseteq R\) is a multiplicatively closed set of \(R\). Recently \textit{E. Şengelen Sevim} et al. [Turk. J. Math. 43, No. 2, 1036--1046 (2019; Zbl 1437.13015)] introduced the notion of an \(S\)-prime submodule which is a generalization of a prime ...
Yildiz, Eda, Tekir, Ünsal, Koç, Suat
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Survey on comultiplication modules [PDF]
Surveys in Mathematics and its Applications, 2019 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 great attention by many authors and now there is a considerable amount of ...
Habibollah Ansari-Toroghy +1 more
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COMULTIPLICATION MODULES AND RELATED RESULTS [PDF]
Honam Mathematical Journal, 2008 Let R be a commutative ring (with identity). In this paper we will obtain some results concerning comultiplication R-modules. Further we state and prove a dual notion of Nakayama's lemma for finitely cogenerated modules.
H. Ansari-Toroghy, F. Farshadifar
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Dual Zariski Topology on Comultiplication Modules
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 This paper dealswith dual Zariski topology on comultiplication modules. We define a subspacetopology of dual Zariski topology on comultiplication modules and study someproperties of this subspace topology.
Ortaç Öneş
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Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains [PDF]
Colloquium Mathematicum, 2010 Let \(R\) be a commutative ring with identity element. In this paper the authors introduce and investigate a new class of \(R\)-modules, called \textit{primarily comultiplication modules}. They are mainly interested in the case when \(R\) is either a Dedekind domain or a pullback of two local Dedekind domains.
Ebrahimi Atani, S. +1 more
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On S-comultiplication modules [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2021 Comment: 14 pages, original ...
Tekir, Ünsal, Yıldız, Eda, Koç, Suat
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Fuzzy Soc–Semi T–ABSO Modules and Related Conepts
Wasit Journal for Pure Sciences, 2023 In this study, the connection between the fuzzy semi T-ABSO module and the fuzzy socle is compared. In order to address this query, we provide an idea known as fuzzy socle semi-TABSO modules.
Wafaa Hanoon, Mustafa Salman (
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