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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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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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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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Cup Products in Hopf-Cyclic Cohomology [PDF]
, 2004 We construct cup products of two different kinds for Hopf-cyclic cohomology. When the Hopf algebra reduces to the ground field our first cup product reduces to Connes' cup product in ordinary cyclic cohomology.
Khalkhali, Masoud, Rangipour, Bahram
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The quantum chiral Minkowski and conformal superspaces [PDF]
, 2010 We give a quantum deformation of the chiral super Minkowski space in four dimensions as the big cell inside a quantum super Grassmannian. The quantization is performed in such way that the actions of the Poincar\'e and conformal quantum supergroups on ...
Cervantes, D., Fioresi, R., Lledo, M. A.
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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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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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On graded S−comultiplication modules
Boletim da Sociedade Paranaense de MatemáticaIn this paper, we introduce the concept of graded S−comultiplication modules. Several results concerning graded S−comultiplication modules are proved. We show that N is a graded S−second submodule of a graded S−comultiplication R−module M if and only if Ann_R(N) is a graded S−prime ideal of R and there exists x ∈ S such that xN ⊆x- for every x- ∈ S.
Mohammad Hamoda, Khaldoun Al-Zoubi
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Link homology and Frobenius extensions
, 2006 We explain how rank two Frobenius extensions of commutative rings lead to link homology theories and discuss relations between these theories, Bar-Natan theories, equivariant cohomology and the Rasmussen invariant.Comment: 13 pages, 2 ...
Khovanov, Mikhail
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, 1994 We start with the observation that the quantum group SL_q(2), described in terms of its algebra of functions has a quantum subgroup, which is just a usual Cartan group.
E. Abe +13 more
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