Results 11 to 20 of about 2,517 (95)
Dynamic asymptotic dimension and Matui's HK conjecture
Proceedings of the London Mathematical Society, Volume 126, Issue 4, Page 1182-1253, April 2023., 2023 Abstract We prove that the homology groups of a principal ample groupoid vanish in dimensions greater than the dynamic asymptotic dimension of the groupoid (as a side‐effect of our methods, we also give a new model of groupoid homology in terms of the Tor groups of homological algebra, which might be of independent interest).
Christian Bönicke +3 more
wiley +1 more source
Boolean Algebras with Semigroup Operators: Free Product and Free Objects
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Two important algebraic structures are S‐acts and Boolean algebras. Combining these two structures, one gets S‐Boolean algebras, equipped with a compatible right action of a monoid S which is a special case of Boolean algebras with operators. In this article, we considered some category‐theoretic properties of the category Boo‐S of all S‐Boolean ...
H. Barzegar, Carmelo Antonio Finocchiaro
wiley +1 more source
Norms on complex matrices induced by complete homogeneous symmetric polynomials
Bulletin of the London Mathematical Society, Volume 54, Issue 6, Page 2078-2100, December 2022., 2022 Abstract We introduce a remarkable new family of norms on the space of n×n$n \times n$ complex matrices. These norms arise from the combinatorial properties of symmetric functions, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in non‐commuting variables.
Konrad Aguilar +3 more
wiley +1 more source
Polyhedra, lattice structures, and extensions of semigroups
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3938-4008, December 2022., 2022 Abstract For an arbitrary rational polyhedron, we consider its decompositions into Minkowski summands and, dual to this, the so‐called free extensions of the associated pair of semigroups. Being free for a pair of semigroups is equivalent to flatness for the corresponding algebras.
Klaus Altmann +2 more
wiley +1 more source
Hypersurface singularities with monomial Jacobian ideal
Bulletin of the London Mathematical Society, Volume 54, Issue 3, Page 1067-1081, June 2022., 2022 Abstract We show that every convergent power series with monomial extended Jacobian ideal is right equivalent to a Thom–Sebastiani polynomial. This solves a problem posed by Hauser and Schicho. On the combinatorial side, we introduce a notion of Jacobian semigroup ideal involving a transversal matroid.
Raul Epure, Mathias Schulze
wiley +1 more source
, 2019 In algebraic terms, the insertion of $n$-powers in words may be modelled at the language level by considering the pseudovariety of ordered monoids defined by the inequality $1\le x^n$.
Almeida, J., Klíma, O.
core +1 more source
Locally countable pseudovarieties [PDF]
Publicacions matemàtiques, 2019 The purpose of this paper is to contribute to the theory of profinite semigroups by considering the special class consisting of those all of whose finitely generated closed subsemigroups are countable, which are said to be locally countable. We also call
J. Almeida, O. Kl'ima
semanticscholar +1 more source
Reaching the minimum ideal in a finite semigroup [PDF]
, 2015 We introduce the depth parameters of a finite semigroup, which measure how hard it is to produce an element in the minimum ideal when we consider generating sets satisfying some minimality conditions.
Karimi, Nasim
core +2 more sources
, 2014 An ordered monoid S in which every principal left ideal, regarded as an S-poset, is projective is called an ordered left PP monoid, for short, an ordered lpp monoid.
Xiaoping Shi
semanticscholar +1 more source
Commutative positive varieties of languages
, 2017 We study the commutative positive varieties of languages closed under various operations: shuffle, renaming and product over one-letter ...
Almeida, Jorge +2 more
core +1 more source