Results 1 to 10 of about 96 (80)

Some properties of graded comultiplication modules

open access: yesOpen 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
doaj   +5 more sources

ON COMULTIPLICATION AND R-MULTIPLICATION MODULES [PDF]

open access: yesJournal 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
doaj   +3 more sources

On $S$-comultiplication modules

open access: yesTurkish 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
exaly   +5 more sources

Survey on comultiplication modules [PDF]

open access: yesSurveys 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
doaj   +3 more sources

COMULTIPLICATION MODULES AND RELATED RESULTS [PDF]

open access: yesHonam 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
openaire   +3 more sources

Dual Zariski Topology on Comultiplication Modules

open access: yesSakarya 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
doaj   +4 more sources

On S-comultiplication modules [PDF]

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2021
Comment: 14 pages, original ...
Tekir, Ünsal, Yıldız, Eda, Koç, Suat
openaire   +5 more sources

Fuzzy Soc–Semi T–ABSO Modules and Related Conepts

open access: yesWasit 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 (
doaj   +1 more source

Coalgebras on Digital Images

open access: yesMathematics, 2020
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
doaj   +1 more source

Module structures and filters on semihoops [PDF]

open access: yesJournal of Mahani Mathematical Research
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
doaj   +1 more source

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