Results 1 to 10 of about 40 (39)

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.
Khaldoun Al-Zoubi
exaly   +2 more sources

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 (
doaj   +1 more source

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
doaj   +1 more source

Coalgebras on Digital Images

Mathematics, 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
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Module structures and filters on semihoops [PDF]

Journal 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
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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
doaj   +1 more source

Bayer noise quasisymmetric functions and some combinatorial algebraic structures [PDF]

Categories and General Algebraic Structures with Applications
Recently, quasisymmetric functions have been widely studied due to their big connection to enumerative combinatorics, combinatorial Hopf algebra and number theory.
Adnan Abdulwahid
doaj   +1 more source

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, Faranak Farshadifar   +1 more
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Modules with Copure Intersection Property

پژوهش‌های ریاضی, 2020
Paper pages (271-276) Introduction ‎Throughout this paper‎,  will denote a commutative ring with‎ ‎identity and  will denote the ring of integers. Let be an -module‎. A submodule  of is said to be pure if for every ideal of .  has the copure sum property

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Adjunctions Between Hom and Tensor as Endofunctors of (bi-)Module Category of Comodule Algebras Over a Quasi-Hopf Algebra

پژوهش‌های ریاضی, 2020
Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
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