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Almost graded multiplication and almost graded comultiplication modules [PDF]
Demonstratio Mathematica, 2020 AbstractLet G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1 and M be a G-graded R-module. In this article, we introduce and study the concept of almost graded multiplication modules as a generalization of graded multiplication modules; a graded R-module M is said to be almost graded multiplication if whenever a\in ...
Malik Bataineh +2 more
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Comultiplication modules over a pullback of Dedekind domains [PDF]
Czechoslovak Mathematical Journal, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atani, Reza Ebrahimi +1 more
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Module structures and filters on semihoops [PDF]
Journal of Mahani Mathematical ResearchIn 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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Twisting Hopf algebras from cocycle deformations [PDF]
, 2016 Let $H$ be a Hopf algebra. Any finite-dimensional lifting of $V\in {}^{H}_{H}\mathcal{YD}$ arising as a cocycle deformation of $A=\mathfrak{B}(V)\#H$ defines a twist in the Hopf algebra $A^*$, via dualization. We follow this recipe to write down explicit
Andruskiewitsch, Nicolás +1 more
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Duality for convex monoids [PDF]
, 2015 Every C*-algebra gives rise to an effect module and a convex space of states, which are connected via Kadison duality. We explore this duality in several examples, where the C*-algebra is equipped with the structure of a finite-dimensional Hopf algebra ...
Roumen, Frank, Roy, Sutanu
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Bayer noise quasisymmetric functions and some combinatorial algebraic structures [PDF]
Categories and General Algebraic Structures with ApplicationsRecently, quasisymmetric functions have been widely studied due to their big connection to enumerative combinatorics, combinatorial Hopf algebra and number theory.
Adnan Abdulwahid
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Graded weak comultiplication modules
Hokkaido Mathematical Journal, 2019 Let $G$ be a group with identity $e$, $R$ be a $G$-graded ring and $M$ be a $G$-graded $R$-module. In this article, we introduce the concept of graded weak comultiplication modules. A graded $R$-module $M$ is said to be graded weak comultiplication if for every graded prime $R$-submodule $N$ of $M$, $N=(0:_{M}I)$ for some graded ideal $I$ of $R$.
ABU-DAWWAS, Rashid +2 more
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Comultiplication modules over commutative rings II
Journal of Commutative Algebra, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Shaniafi, Yousef, Smith, Patrick F.
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Finitely generated coreduced comultiplication modules
Journal of Algebra and Its Applications, 2023 This paper deals with some results concerning finitely generated coreduced comultiplication modules over a commutative ring.
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Some NECESSARY AND SUFFICIENT CONDITIONS OF COMULTIPLICATION MODULE
PARAMETER: Jurnal Matematika, Statistika dan Terapannya, 2022 In ring theory, if and be ideals of , then the multiplication of and , which is defined by is also ideal of . Motivated by the multiplication of two ideals, then can be defined a multiplication module, a special module which every submodule of can be expressed as the multiplication of an ideal of ring and the module itself, and can simply be ...
Dorteus L. Rahakbauw +3 more
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