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We give a description of the construction of Chevalley supergroups, providing some explanatory examples. We avoid the discussion of the $A(1,1)$, $P(3)$ and $Q(n)$ cases, for which our construction holds, but the exposition becomes more…

环与代数 · 数学 2010-11-22 R. Fioresi , F. Gavarini

In this paper we introduce the notion of extension of a numerical semigroup. We provide a characterization of the numerical semigroups whose extensions are all arithmetic and we give an algorithm for the computation of the whole set of…

交换代数 · 数学 2020-03-31 Ignacio Ojeda , José Carlos Rosales

We study numerical semigroups with the property "multiplicity= embedding dimension+1", generated by concatenation of arithmetic sequences.

交换代数 · 数学 2020-03-27 Ranjana Mehta , Joydip Saha , Indranath Sengupta

In this paper, we discuss characterizations of common fixed points of commutative semigroups of nonexpansive mappings. We next prove convergence theorems to a common fixed point. We finally discuss nonexpansive retractions onto the set of…

泛函分析 · 数学 2007-05-23 T. Suzuki

All isolated, completely isolated, and nilpotent subsemigroups in the semigroup $\IS$ of all injective partial transformations of an $n$-element set, considered as a semigroup with a sandwich multiplication are described.

环与代数 · 数学 2007-05-23 G. Y. Tsyaputa

The present paper is devoted to semigroups of nonexpansive mappings on metric spaces of nonpositive curvature. We show that the Mosco convergence of a sequence of convex lsc functions implies convergence of the corresponding resolvents and…

泛函分析 · 数学 2013-01-25 Miroslav Bacak

We study self-adjoint semigroups of partial isometries on a Hilbert space. These semigroups coincide precisely with faithful representations of abstract inverse semigroups. Groups of unitary operators are specialized examples of…

泛函分析 · 数学 2013-06-13 Alexey I. Popov , Heydar Radjavi

Let S be a dense sub-semigroup of the positive real numbers, and let X be a separable, reflexive Banach space. This note contains a proof that every weakly continuous contractive semigroup of operators on X over S can be extended to a…

泛函分析 · 数学 2009-03-21 Eliahu Levy , Orr Shalit

Given a positive integer k, we investigate the class of numerical semigroups verifying the property that every two subsequent non gaps, smaller than the conductor, are spaced by at least k. These semigroups will be called k-sparse and…

环与代数 · 数学 2016-12-01 G. Tizziotti , J. Villanueva

We present an example of a disconnected Lie group for which there is no universal covering (as Lie group).

群论 · 数学 2007-05-23 Joerg Winkelmann

A semigroupoid is a set equipped with a partially defined associative operation. Given a semigroupoid \Lambda we construct a C*-algebra C*(\Lambda) from it. We then present two main examples of semigroupoids, namely the Markov semigroupoid…

算子代数 · 数学 2007-05-23 Ruy Exel

A semigroup generated by two dimensional $C^{1+\alpha}$ contracting maps is considered. We call a such semigroup regular if the maximum $K$ of the conformal dilatations of generators, the maximum $l$ of the norms of the derivatives of…

动力系统 · 数学 2016-09-06 Yunping Jiang

This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems of numerical semigroups, which is a topic that has been around for some years, but it does it in a systematic way…

组合数学 · 数学 2019-07-03 Guadalupe Márquez-Campos , José M. Tornero

In this paper we study fixed point properties for semitopological semigroup of nonexpansive mappings on a bounded closed convex subset of a Banach space. We also study a Schauder fixed point property for a semitopological semigroup of…

泛函分析 · 数学 2012-07-20 A. T. -M. Lau , Yong Zhang

The paper begins by exploring the various definitions of norms on semigroups and then presents a new definition of a normed semigroup. The properties of normed semigroups in the new sense are investigated. The new definition of the norm is…

环与代数 · 数学 2015-08-18 V. N. Krishnachandran

The change-making problem was recently extended to sets of positive integers not containing the element $1$, and from there to numerical semigroups. A greedy numerical semigroup is defined as a numerical semigroup where the greedy…

组合数学 · 数学 2026-02-24 Arnau Messegué-Buisan , Hebert Pérez-Rosés

Using the corepresentation of the quantum supergroup OSp_q(1/2) a general method for constructing noncommutative spaces covariant under its coaction is developed. In particular, a one-parameter family of covariant algebras, which may be…

量子代数 · 数学 2007-05-23 N. Aizawa , R. Chakrabarti

It is proved that the numerical semigroups associated to the combinatorial configurations satisfy a family of non-linear symmetric patterns. Also, these numerical semigroups are studied for two particular classes of combinatorial…

群论 · 数学 2012-12-18 Klara Stokes , Maria Bras-Amorós

The use of compositions simplifies some aspects of the theory of numerical semigroups. We illustrate this by giving a new proof for the asymptotic number C((1 + $\sqrt$ 5)/2) g of numerical semigroups of genus g and by describing the…

组合数学 · 数学 2021-05-11 Roland Bacher

Let F be a Riemannian submersion from an almost Hermitian manifold (M; gM; J) onto a Riemannian manifold (N; gN). We introduce the notion of the semi-slant submersion. And then we obtain some properties about it. In particular, we give some…

微分几何 · 数学 2012-06-08 Kwang-Soon Park , Rajendra Prasad