Results 51 to 60 of about 369 (138)

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
wiley   +1 more source

Hyperbinary partitions and q-deformed rationals

Forum of Mathematics, Sigma
A hyperbinary partition of the nonnegative integer n is a partition where every part is a power of $2$ and every power of $2$ appears at most twice.
Thomas McConville, James Propp, Bruce Sagan   +2 more
doaj   +1 more source

Hall's marriage theorem

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In 1935, Philip Hall published what is often referred to as ‘Hall's marriage theorem’ in a short paper (P. Hall, J. Lond. Math. Soc. (1) 10 (1935), no. 1, 26–30.) This paper has been very influential. I state the theorem and outline Hall's proof, together with some equivalent (or stronger) earlier results, and proceed to discuss some the many ...
Peter J. Cameron
wiley   +1 more source

Regular Schur labeled skew shape posets and their 0-Hecke modules

Forum of Mathematics, Sigma
Assuming Stanley’s P-partitions conjecture holds, the regular Schur labeled skew shape posets are precisely the finite posets P with underlying set $\{1, 2, \ldots , |P|\}$ such that the P-partition generating function is symmetric and the set of ...
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
doaj   +1 more source

Some Properties of Hyper Ideals in Hyper Hoop‐Algebras

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu, Wondosen Zemene Norahun, Derso Abeje Engidaw, Gezahagne Mulat Addis, Berhanu Bekele Belayneh, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

On Structural Characterization and Computation of the Diameter and Girth of Bipartite Gap Poset Graphs with Python Application

Axioms
In this article, a correspondence between some important classes of numerical semigroups and well-known families of bipartite graphs has been established.
Maria Mehtab, Muhammad Ahsan Binyamin, Syed Sheraz Asghar, Amal S. Alali, Khawar Mehmood   +4 more
doaj   +1 more source

A Superalgebra Within: Representations of Lightest Standard Model Particles Form a Z25$\mathbb {Z}_2^5$‐Graded Algebra

Annalen der Physik, Volume 537, Issue 12, December 2025.
 A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley   +1 more source

Combination of open covers with π1$\pi _1$‐constraints

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3886-3901, December 2025.
Abstract Let G$G$ be a group and let F$\mathcal {F}$ be a family of subgroups of G$G$. The generalised Lusternik–Schnirelmann category catF(G)$\operatorname{cat}_\mathcal {F}(G)$ is the minimal cardinality of covers of BG$BG$ by open subsets with fundamental group in F$\mathcal {F}$.
Pietro Capovilla, Kevin Li, Clara Löh
wiley   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

Properties of products for flatness in the category of $S$-posets [PDF]

Categories and General Algebraic Structures with Applications, 2016
This paper is devoted to the study of products of classes of right $S$-posets possessing one of the flatness properties and preservation of such properties under products.
Roghaieh Khosravi, Mojtaba Sedaghatjoo
doaj