Results 31 to 40 of about 101 (90)
Module structure of Weyl algebras
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
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Annsemimaximal and Coannsemimaximal Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Some authors studied modules with annihilator of every nonzero submodule is prime, primary or maximal. In this paper, we introduce and study annsemimaximal and coannsemimaximal modules, where an R-module M is called annsemimaximal (resp ...
I. M.A. Hadi, , H. Y. Khalaf
doaj
A Graded Zero‐Divisor Graph Arising From Group‐Graded Modules
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce a graded zero‐divisor graph for group‐graded modules, where the vertices are homogeneous elements and edges connect distinct vertices according to a natural graded relation. We investigate its main properties, such as connectivity and girth, and compare these graphs with their ungraded counterparts.
Fida Moh’d +4 more
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Nice Submodules and Projectivity in ω1 − (ω + n)‐QTAG‐Module Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigate the properties and structural aspects of strongly and separably ω1 − (ω + n)‐projective modules, with a focus on their behavior in QTAG‐modules. We explore the conditions under which such modules exhibit projectivity and examine the roles of countably generated submodules.
Faizah D. Alanazi +3 more
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The m$m$‐step solvable anabelian geometry of mixed‐characteristic local fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let K$K$ be a mixed‐characteristic local field. For an integer m⩾0$m \geqslant 0$, we denote by Km/K$K^m / K$ the maximal m$m$‐step solvable extension of K$K$, and by GKm$G_K^m$ the maximal m$m$‐step solvable quotient of the absolute Galois group GK$G_K$ of K$K$.
Seung‐Hyeon Hyeon
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W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
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, 2022 In this paper, we introduce the concept of centrally endo-AIP modules. We call a module M centrally endo-AIP, if the left annihilator of any fully invariant submodule N of M in the endomorphism ring S = End(M) is a centrally s-unital ideal of S.
Kumar, Shiv, Gupta, Ashok Ji
core
GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
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Matrix characterization of MDS linear codes over modules
, 1998 Let R be a commutative ring with identity, N be an R-module, and M = (aij)r×k be a matrix over R. A linear code C of length n over N is defined to be a submodule of Nn.
Gunawan, Erry +2 more
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Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
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