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We formulate a new criterion of the asymptotic stability for some non-equicontinuous Markov semigroups, the so-called eventually continuous semigroups. In particular, we provide a non-equicontinuous Markov semigroup example with essential…

概率论 · 数学 2025-03-05 Fuzhou Gong , Yong Liu , Yuan Liu , Ziyu Liu

In this paper, we investigate some characteristic features of holomorphic semigroups. In particular, we investigate nice examples of holomorphic semigroups whose every left or right ideal includes minimal ideal. These examples are compact…

动力系统 · 数学 2019-01-23 Bishnu Hari Subedi

We introduce the notion of pattern for numerical semigroups, which allows us to generalize the definition of Arf numerical semigroups. In this way infinitely many other classes of numerical semigroups are defined giving a classification of…

环与代数 · 数学 2019-12-10 Maria Bras-Amorós , Pedro García-Sánchez

We characterize affine semigroups having one Betti element and we compute some relevant non-unique factorization invariants for these semigroups. As an example, we particularize our description to numerical semigroups.

交换代数 · 数学 2014-01-27 Pedro A. García-Sánchez , Ignacio Ojeda , José Carlos Rosales

We demonstrate that non-exponential decays of unstable systems can be understood as yet another example of nonextensivity encountered in many physical systems and as such can be characterized by the nonextensivity parameter q.

高能物理 - 唯象学 · 物理学 2009-04-15 G. Wilk , Z. Wlodarczyk

A semigroup is \emph{amiable} if there is exactly one idempotent in each $\mathcal{R}^*$-class and in each $\mathcal{L}^*$-class. A semigroup is \emph{adequate} if it is amiable and if its idempotents commute. We characterize adequate…

群论 · 数学 2017-06-23 Joao Araujo , Michael Kinyon , Antonio Malheiro

We built some congruences on semigroups, from where a decomposition of quasi-separative semigroups was obtained.

群论 · 数学 2007-05-23 Yu. I. Krasilnikova , B. V. Novikov

Patterns on numerical semigroups are multivariate linear polynomials, and they are said to be admissible if there exists a numerical semigroup such that evaluated at any nonincreasing sequence of elements of the semigroup gives integers…

In this paper, we study good semigroups of \mathbb{N}^n, a class of semigroups that contains the value semigroups of algebroid curves with n branches. We give the definition of embedding dimension of a good semigroup showing that, in the…

交换代数 · 数学 2019-05-03 Nicola Maugeri , Giuseppe Zito

While every group is isomorphic to a transitive group of permutations, the analogous property fails for inverse semigroups: not all inverse semigroups are isomorphic to transitive inverse semigroups of one-to-one partial transformations of…

群论 · 数学 2014-07-09 Boris M. Schein

We explicitly describe all the isolated gaps of any numerical semigroup of embedding dimension two, and we give an exact formula for the number of isolated gaps of these numerical semigroups.

组合数学 · 数学 2024-06-17 Shubh N. Singh , Ranjan K. Ram

The equational probabilistic spectrum of a finite algebra is the set of probabilities with which equations are satisfied in the algebra. We study algebras with minimal spectrum, that is, spectra consisting only of the values $1$ and…

逻辑 · 数学 2026-04-14 Carles Cardó

In this paper, using Kronecker's theorem, we discuss the set of common fixed points of an n-parameter continuous semigroup of mappings. We also discuss convergence theorems to a common fixed point of an n-parameter nonexpansive semigroup.

泛函分析 · 数学 2007-05-23 Tomonari Suzuki

We use the variety of one-parameter subgroups to define a numerical invariant for a representation of an infinitesimal group scheme. For an indecomposable module M of complexity 1, this number is related to the period of M.

表示论 · 数学 2009-10-09 Rolf Farnsteiner

In this paper we obtain some noncommutative multiplier theorems and maximal inequalities on semigroups. As applications, we obtain the corresponding individual ergodic theorems. Our main results extend some classical results of Stein and…

泛函分析 · 数学 2017-03-01 Yong Jiao , Maofa Wang

We prove that any quasigroup admissing complete or quasicomplete mapping has a prolongation to a quasigroup having one element more.

群论 · 数学 2015-01-27 Ivan I. Deriyenko , Wieslaw A. Dudek

We construct examples of non-bi-orderable one-relator groups without generalized torsion. This answers a question asked in [2].

群论 · 数学 2026-04-16 Azer Akhmedov , James Thorne

We study the structure of nilpotent subsemigroups in the semigroup $M(n,\mathbb{F})$ of all $n\times n$ matrices over a field, $\mathbb{F}$, with respect to the operation of the usual matrix multiplication. We describe the maximal…

群论 · 数学 2010-04-02 Ganna Kudryavtseva , Volodymyr Mazorchuk

Let $\Mmm$ denote the set of $\mm$ matrices with complex entries, and let $\calG(\partial_1,...,\partial_n)$ be an $\mm$ matrix whose entries are partial differential operators on $\Rn$ with constant complex coefficients. It is proved that…

偏微分方程分析 · 数学 2011-12-01 Jan Kisyński

We construct a class of noncommutative spectra and give the basic properties of the class of noncommutative spectra.

代数几何 · 数学 2011-04-21 Keqin Liu