Results 31 to 40 of about 96 (80)

Comultiplication modules over commutative rings

Journal of Commutative Algebra, 2011
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Al-Shaniafi, Yousef, Smith, Patrick F.
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On graded S−comultiplication modules

Boletim da Sociedade Paranaense de Matemática
In 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

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, HESARİ, Saboura Dolati Pish, KHORAMDEL, Mehdi, BAZARİ, Maryam Sedghi Shanbeh   +3 more
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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, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

Local equivalence and refinements of Rasmussen's s‐invariant

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield, Robert Lipshitz, Dirk Schütz   +2 more
wiley   +1 more source

Idealization properties of comultiplication modules

New Zealand Journal of Mathematics, 2020
In our previous work we gave a treatment of certain aspects of multiplication modules, projective modules, flat modules and like-cancellation modules via idealization. The purpose of this work is to continue our study and develop the tool of idealization in the context of comultiplication modules.
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Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi, Louis‐Hadrien Robert, Joshua Sussan, Emmanuel Wagner   +3 more
wiley   +1 more source

ON QUASI COMULTIPLICATION MODULES OVER PULLBACK RINGS

International Electronic Journal of Algebra, 2019
Let \(R\) be a commutative ring and \(M\) be an \(R\)-module. A proper ideal \(I\) of \(R\) is called quasi-prime (or in some texts, strongly irreducible), if for each pair of ideals \(A\) and \(B\) of \(R\), \(A\cap B\subseteq I\) yields either \(A\subseteq I\) or \(B\subseteq I\).
ATANİ, S. Ebrahimi, SARAEİ, F. Esmaeili Khalil   +1 more
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Asymmetric graphs with quantum symmetry

Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.
Abstract We present an infinite sequence of finite graphs with trivial automorphism group and non‐trivial quantum automorphism group. These are the first known examples of graphs with this property. Moreover, to the best of our knowledge, these are the first examples of any asymmetric classical space that has non‐trivial quantum symmetries.
Josse van Dobben de Bruyn, David E. Roberson, Simon Schmidt   +2 more
wiley   +1 more source

Averaging multipliers on locally compact quantum groups

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws, Jacek Krajczok, Christian Voigt   +2 more
wiley   +1 more source