Results 31 to 40 of about 142 (106)
A groupoid approach to regular $*$-semigroups [PDF]
, 2023 In this paper we develop a new groupoid-based structure theory for the class of regular $*$-semigroups. This class occupies something of a `sweet spot' between the important classes of inverse and regular semigroups, and contains many natural examples ...
Muhammed, P. A. Azeef, East, James
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The Cuntz semigroup of continuous functions into certain simple C*-algebras [PDF]
, 2011 Peer ...
AARON TIKUISIS, Tikuisis, A.
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
Interior and closure operators on bounded residuated lattice ordered monoids [PDF]
, 2008 summary:$GMV$-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior $GMV$-algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the
Švrček, Filip
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On the dimension of orthogonal projections of self‐similar measures
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract Let ν$\nu$ be a self‐similar measure on Rd$\mathbb {R}^d$, d⩾2$d\geqslant 2$, and let π$\pi$ be an orthogonal projection onto a k$k$‐dimensional subspace. We formulate a criterion on the action of the group generated by the orthogonal parts of the iterated function system on π$\pi$, and show that it ensures that the dimension of πν$\pi \nu$ is
Amir Algom, Pablo Shmerkin
wiley +1 more source
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
Aggregation operators on partially ordered sets and their categorical foundations [PDF]
, 2006 summary:In spite of increasing studies and investigations in the field of aggregation operators, there are two fundamental problems remaining unsolved: aggregation of $L$-fuzzy set-theoretic notions and their justification.
Demirci, Mustafa
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On minimal presentations of numerical monoids
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 878-894, March 2025.Abstract We consider the classical problem of determining the largest possible cardinality of a minimal presentation of a numerical monoid with given embedding dimension and multiplicity. Very few values of this cardinality are known. In addressing this problem, we apply tools from Hilbert functions and free resolutions of artinian standard graded ...
Alessio Moscariello, Alessio Sammartano
wiley +1 more source
Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
wiley +1 more source
Semidirect products of ordered semigroups [PDF]
, 2002 Semidirect product is a powerful tool for studying finite semigroups, and it has been used in the literature to give structure theorems and classification theorems, especially in the context of the lattice of varieties of finite semigroups. This study in
Weil, Pascal, Pin, Jean-Eric
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