Results 31 to 40 of about 4,745 (95)
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
Transparency condition in the categories of Yetter-Drinfel'd modules over Hopf algebras in braided categories [PDF]
, 2013 We study versions of the categories of Yetter-Drinfel'd modules over a Hopf algebra $H$ in a braided monoidal category $\C$. Contrarywise to Bespalov's approach, all our structures live in $\C$. This forces $H$ to be transparent or equivalently to lie in
Femić, Bojana
core +3 more sources
Comultiplication modules over commutative rings
Journal of Commutative Algebra, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Shaniafi, Yousef, Smith, Patrick F.
openaire +2 more sources
, 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
core +1 more source
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
openaire +4 more sources
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
core +1 more source
ABSORBING COMULTIPLICATION MODULES OVER A PULLBACK RING
International Electronic Journal of Algebra, 2018 Summary: The purpose of this paper is to introduce the concept of 2-absorbing comultiplication modules, which form a subclass of the class of pure-injective modules over pullback rings.A full description of all indecomposable 2absorbing comultiplication modules with finite-dimensional top over the pullback of two discrete valuation domains with the ...
S. EBRAHİMİ, Atani +3 more
openaire +4 more sources
, 2019 Contramodules are module-like algebraic structures endowed with infinite summation (or, occasionally, integration) operations satisfying natural axioms. Introduced originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings,
Positselski, Leonid
core +3 more sources
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
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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