Results 41 to 50 of about 96 (80)
پژوهشهای ریاضی, 2020 Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
doaj
Modular representations of the Yangian Y2$Y_2$
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Let Y2$Y_2$ be the Yangian associated to the general linear Lie algebra gl2$\mathfrak {gl}_2$, defined over an algebraically closed field k$\mathbb {k}$ of characteristic p>0$p>0$. In this paper, we study the representation theory of the restricted Yangian Y2[p]$Y^{[p]}_2$.
Hao Chang, Jinxin Hu, Lewis Topley
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Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract We construct a family of solvable lattice models whose partition functions include p$p$‐adic Whittaker functions for general linear groups from two very different sources: from Iwahori‐fixed vectors and from metaplectic covers. Interpolating between them by Drinfeld twisting, we uncover unexpected relationships between Iwahori and metaplectic ...
Ben Brubaker +3 more
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Equivariant resolutions over Veronese rings
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa +4 more
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The spectrum of a twisted commutative algebra
Proceedings of the London Mathematical Society, Volume 128, Issue 1, January 2024.Abstract A twisted commutative algebra is (for us) a commutative Q$\mathbf {Q}$‐algebra equipped with an action of the infinite general linear group. In such algebras, the “GL$\mathbf {GL}$‐prime” ideals assume the duties fulfilled by prime ideals in ordinary commutative algebra, and so it is crucial to understand them.
Andrew Snowden
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Strongly (Completely) Hollow Sub-modules II
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let M be an R-module, where R is commutative ring with unity. In this paper we study the behavior of strongly hollow and quasi hollow submodule in the class of strongly comultiplication modules.
Inaam M. A. Hadi, Ghaleb A. Humod
doaj
The large sum graph related to comultiplication modules
Le Matematiche, 2016 Let R be a commutative ring and M be an R-module. We define the large sum graph, denoted by \acute{G}(M), as a graph with the vertex set of non-large submodules of M and two distinct vertices are adjacent if and only if N + K is a non-large submodule of M. In this article, we investigate the connection between the graph-theoretic properties of \acute{G}
Habibollah Ansari-Toroghy +1 more
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Some results on comultiplication modules
International Journal of Algebra, 2013 Let M be a faithful multiplication and comultiplication module over a commutative ring R. In this paper we investigate some results on such modules.
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
europepmc +1 more source
Pseudo-absorbing comultiplication modules over a pullback ring
International Electronic Journal of AlgebraIn this paper, we introduce the notion of pseudo-absorbing comultiplication modules. A full description of all indecomposable pseudo-absorbing comultiplication modules with finite dimensional top over certain kinds of pullback rings are given and establish a connection between the pseudo-absorbing comultiplication modules and ...
ATANI, Shahabaddin Ebrahimi +2 more
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