Results 1 to 10 of about 96 (80)
Some properties of graded comultiplication modules
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]
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
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]
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]
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
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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On S-comultiplication modules [PDF]
Comment: 14 pages, original ...
Tekir, Ünsal, Yıldız, Eda, Koç, Suat
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Fuzzy Soc–Semi T–ABSO Modules and Related Conepts
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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In this article, we investigate the fundamental properties of coalgebras with coalgebra comultiplications, counits, and coalgebra homomorphisms of coalgebras over a commutative ring R with identity 1R based on digital images with adjacency relations.
Sunyoung Lee, Dae-Woong Lee
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Module structures and filters on semihoops [PDF]
In this paper, we study modules and filters on semihoops. Firstly, we introduce the definition of modules on semihoops and give some examples to illustrate it. Also, we get some significant results related to modules on semihoops. If the semihoop $G$ can
Hao Chen, Xiao Long Xin
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