Results 21 to 30 of about 96 (80)
Weak Hopf Algebra and Its Quiver Representation
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan +5 more
wiley +1 more source
The Quantum Symmetry in Nonbalanced Hopf Spin Models Determined by a Normal Coideal Subalgebra
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 For a finite‐dimensional cocommutative semisimple Hopf C∗‐algebra H and a normal coideal ∗‐subalgebra H1, we define the nonbalanced quantum double D(H1; H) as the crossed product of H with H1op∧, with respect to the left coadjoint representation of the first algebra acting on the second one, and then construct the infinite crossed product AH1=⋯⋊H⋊H1∧⋊H⋊
Xin Qiaoling, Cao Tianqing, Naihuan Jing
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The Maschke‐Type Theorem and Morita Context for BiHom‐Smash Products
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 Let (H, αH, βH, ωH, ψH, SH) be a BiHom‐Hopf algebra and (A, αA, βA) be an (H, αH, βH)‐module BiHom‐algebra. Then, in this paper, we study some properties on the BiHom‐smash product A#H. We construct the Maschke‐type theorem for the BiHom‐smash product A#H and form an associated Morita context AH,AHAA#H,A#HAAH,A#H.
Bingliang Shen +2 more
wiley +1 more source
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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Classification of 1-absorbing comultiplication modules over a pullback ring
Categories and General Algebraic Structures with Applications, 2023 Summary: One of the aims of the modern representation theory is to solve classification problems for subcategories of modules over a unitary ring \(R\). In this paper, we introduce the concept of 1-absorbing comultiplication modules and classify 1-absorbing comultiplication modules over local Dedekind domains and we study it in detail from the ...
Farkhondeh Farzalipour, Peyman Ghiasvand
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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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