Results 71 to 80 of about 467 (189)

Torsion classes of extended Dynkin quivers over commutative rings

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley   +1 more source

Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley   +1 more source

Canonical forms of oriented matroids

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley   +1 more source

Hyperbinary partitions and q-deformed rationals

open access: yesForum 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   +2 more
doaj   +1 more source

Module structure of Weyl algebras

open access: yesJournal 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

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

open access: yesForum 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

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

open access: yesAxioms
In this article, a correspondence between some important classes of numerical semigroups and well-known families of bipartite graphs has been established.
Maria Mehtab   +4 more
doaj   +1 more source

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

open access: yesCategories 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  

Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities [PDF]

open access: yes, 2014
We prove that operator pomonoids of a po-Γ-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with unities can be constructed such that left and right ...
Gupta, S., Sardar, S.K.
core   +1 more source

Move-minimizing puzzles, diamond-colored modular and distributive lattices, and poset models for Weyl group symmetric functions

open access: yes, 2018
The move-minimizing puzzles presented here are certain types of one-player combinatorial games that are shown to have explicit solutions whenever they can be encoded in a certain way as diamond-colored modular and distributive lattices. Such lattices can
Donnelly, Robert G.   +3 more
core  

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