Results 31 to 40 of about 143,321 (277)
Series with Commuting Terms in Topologized Semigroups
Axioms, 2021 We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.
Alberto Castejón +2 more
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On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup [PDF]
, 2012 We compute the K-theory of C*-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K-theory of these semigroup C*-algebras in terms of the K-theory for the reduced
J. Cuntz, S. Echterhoff, Xin Li
semanticscholar +1 more source
Complex Analysis and Operator Theory, 2011 In this paper we consider a semigroup on trigonometric expansions that will be called the Theta semigroup since its kernel is a multiple of the third Jacobi theta function. We study properties of this semigroup and prove that it is a positive diffusion semigroup. We also obtain that its subordinated semigroup is the classical Poisson semigroup.
Urbina, Wilfredo O., Zayed, Ahmed
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On the closure of the extended bicyclic semigroup
Karpatsʹkì Matematičnì Publìkacìï, 2013 In the paper we study the semigroup $\mathcal{C}_{\mathbb{Z}}$ which is a generalization of the bicyclic semigroup. We describe main algebraic properties of the semigroup $\mathcal{C}_{\mathbb{Z}}$ and prove that every non-trivial congruence $\mathbb{C}$
I. R. Fihel, O. V. Gutik
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On transformation semigroups which are ℬ𝒬-semigroups
International Journal of Mathematics and Mathematical Sciences, 2006 A semigroup whose bi-ideals and quasi-ideals coincide is called a ℬ𝒬-semigroup. The full transformation semigroup on a set X and the semigroup of all linear transformations of a vector space V over a field F into itself are denoted, respectively, by T(X)
S. Nenthein, Y. Kemprasit
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Action graph of a semigroup act & its functorial connection [PDF]
Categories and General Algebraic Structures with Applications, 2023 In this paper we define C-induced action graph G(S,a,C;A) corresponding to a semigroup act (S,a,A) and a subset C of S. This generalizes many interesting graphs including Cayley Graph of groups and semigroups, Transformation Graphs (TRAG), Group Action ...
Promit Mukherjee +2 more
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Large Aperiodic Semigroups [PDF]
, 2014 The syntactic complexity of a regular language is the size of its syntactic semigroup. This semigroup is isomorphic to the transition semigroup of the minimal deterministic finite automaton accepting the language, that is, to the semigroup generated by ...
A. Kisielewicz +11 more
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Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation
Abstract and Applied Analysis, 2013 We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Yu-Hsien Chang
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Remarks on the paper "M. Kolibiar, On a construction of semigroups" [PDF]
, 2015 In his paper "On a construction of semigroups", M. Kolibiar gives a construction for a semigroup $T$ (beginning from a semigroup $S$) which is said to be derived from the semigroup $S$ by a $\theta$-construction.
Nagy, Attila
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ON THE CAYLEY SEMIGROUP OF A FINITE APERIODIC SEMIGROUP [PDF]
International Journal of Algebra and Computation, 2009 Let S be a finite semigroup. In this paper, we introduce the functions φs:S* → S*, first defined by Rhodes, given by φs([a1,a2,…,an]) = [sa1,sa1a2,…,sa1a2 ⋯ an]. We show that if S is a finite aperiodic semigroup, then the semigroup generated by the functions {φs}s ∈ S is finite and aperiodic.
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