Results 91 to 100 of about 24,881 (221)
On representation type of the semigroup $S^0_{32}$ over an arbitrary field
In this paper we study matrix representations of a semigroup that is the simplest amplification of the wild semigroup S_{32}=, namely the semigroup S^0_{32}=. We prove that the semigroup S^0_{32} has finite representation type over an arbitrary field.
О. В. Зубарук
doaj +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
On the joins of semigroup varieties with the variety of commutative semigroups [PDF]
We show that the join of a variety of semigroups and the variety of all commutative semigroups is not finitely based, provided some weak conditions.
Sapir, M. V., Volkov, M. V.
openaire +3 more sources
Identities in the Algebra of Partial Maps [PDF]
We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson +3 more
core +1 more source
Context‐free graphs and their transition groups
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Proper affine deformations of positive representations
Abstract We define, for every positive Anosov representation of a nonabelian free group into SO(2n,2n−1)$\mathrm{SO}(2n,2n-1)$, a family of R4n−1$\mathbb {R}^{4n-1}$‐valued cocycles which induce proper affine actions on R4n−1$\mathbb {R}^{4n-1}$. We construct fundamental domains in R4n−1$\mathbb {R}^{4n-1}$ bounded by generalized crooked planes for ...
Jean‐Philippe Burelle +1 more
wiley +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more general version ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
Summary: We characterize the idempotent ideal elements of the \(le\)-semigroups in terms of semisimple elements and we prove, among others, that the ideal elements of an \(le\)-semigroup \(S\) are prime (resp. weakly prime) if and only if they form a chain and \(S\) is intraregular (resp. semisimple).
openaire +3 more sources
The principal bundles over an inverse semigroup [PDF]
This paper is a contribution to the development of the theory of representations of inverse semigroups in toposes. It continues the work initiated by Funk and Hofstra. For the topos of sets, we show that torsion-free functors on Loganathan\u27s category $
Kudryavtseva, Ganna +3 more
core +1 more source
On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley +1 more source

