Results 71 to 80 of about 21,654,511 (186)
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Dedekind's problem, dating back to 1897, asks for the total number ψ(n)$\psi (n)$ of antichains contained in the Boolean lattice Bn$B_n$ on n$n$ elements. We study Dedekind's problem using a recently developed method based on the cluster expansion from statistical physics, and as a result, obtain several new results on the number and typical ...
Matthew Jenssen +2 more
wiley +1 more source
A characterization of a pomonoid $S$ all of its cyclic $S$-posets are regular injective [PDF]
Categories and General Algebraic Structures with Applications, 2013 This work is devoted to give a charcaterization of a pomonoid $S$ such that all cyclic $S$-posets are regular injective.
Xia Zhang, Wenling Zhang, Ulrich Knauer
doaj
Identifiability of points and rigidity of hypergraphs under algebraic constraints
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract The identifiability problem arises naturally in a number of contexts in mathematics and computer science. Specific instances include local or global rigidity of graphs and unique completability of partially‐filled tensors subject to rank conditions.
James Cruickshank +3 more
wiley +1 more source
Gluing posets and the dichotomy of poset saturation numbers
Mathematika, Volume 72, Issue 3, July 2026.Abstract Given a finite poset P$\mathcal {P}$, we say that a family F$\mathcal {F}$ of subsets of [n]$[n]$ is P$\mathcal {P}$‐saturated if F$\mathcal {F}$ does not contain an induced copy of P$\mathcal {P}$, but adding any other set to F$\mathcal {F}$ creates an induced copy of P$\mathcal {P}$.
Maria‐Romina Ivan, Sean Jaffe
wiley +1 more source
Primitivity testing in free group algebras via duality
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel +2 more
wiley +1 more source
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
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Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source
Hyperbinary partitions and q-deformed rationals
Forum of Mathematics, SigmaA 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
Magnetic Resonance in Chemistry, Volume 64, Issue 5, Page 506-520, May 2026.This review demonstrates that NMR dispersion profiles from fast field cycling NMR relaxometry can be interpreted with the 3‐Tau model for a broad spectrum of soft and hard materials. Meaningful physical quantities provide insight into surface chemistry, bound water density, pore size, aqueous or solid iron (III) density and the free water diffusion ...
David A. Faux, Rémi Kogon
wiley +1 more source