Topic
Cancellative semigroup
About: Cancellative semigroup is a research topic. Over the lifetime, 1320 publications have been published within this topic receiving 13319 citations.
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TL;DR: In this article, the authors study and characterize the numerical semigroups S that verify 2|g e (S)−g o (S)|+1∈S and show that every numerical semigroup can be represented by means of a maximal embedding dimension with all its minimal generators odd.
Abstract: Let g e (S) (respectively, g o (S)) be the number of even (respectively, odd) gaps of a numerical semigroup S. In this work we study and characterize the numerical semigroups S that verify 2|g e (S)−g o (S)|+1∈S. As a consequence we will see that every numerical semigroup can be represented by means of a numerical semigroup with maximal embedding dimension with all its minimal generators odd.
1 citations
1 citations
TL;DR: In this paper, it was shown that a completely regular semi-group is weakly separative and the restriction of Cto E(S) is the usual partial order on E (S).
Abstract: 2, pp. 193-199, December 2010.Universidad Cat´olica del NorteAntofagasta - ChileAbstractFirst we have obtained equivalent conditions for a regular semi-group and is equivalent to N= N1 It is observed that every regularsemigroup is weakly separative and C⊆Sand on a completely reg-ular semigroup S⊆Nand Sis partial order . It is also obtainedthat a band (S,.) is normal iffC= N. It is also observed that ona completely regular semigroup (S,.),C= S= Niff(S,.) is locallyinverse semigroup and the restriction of Cto E(S) is the usual partialorder on E(S). Finally it is obtained that, if (S,.) is a normal bandof groups then C= S= N.Key Words : Locally inverse semigroup, orthodox semigroup,completely regular semigroup, normal band.AMS Subject Classification No. : 20M18.
1 citations
02 Aug 2017
TL;DR: In this paper, it was shown that the second dual of the Fourier algebra of a locally compact topological semigroup admits a trivolution extending one of the natural involutions of A(G) if and only if G is finite.
Abstract: We investigate involutions and trivolutions in the second dual of algebras related to a locally compact topological semigroup and the Fourier algebra of a locally compact group. We prove, among the other things, that for a large class of topological semigroups namely, compactly cancellative foundation $$*$$
-semigroup S when it is infinite non-discrete cancellative, $$M_a(S)^{**}$$
does not admit an involution, and $$M_a(S)^{**}$$
has a trivolution with range $$M_a(S)$$
if and only if S is discrete. We also show that when G is an amenable group, the second dual of the Fourier algebra of G admits an involution extending one of the natural involutions of A(G) if and only if G is finite. However, $$A(G)^{**}$$
always admits trivolution.
1 citations
TL;DR: In this paper, the authors define an adherence semigroup A(X,T--Xx) which is the set of all pointwise limit of subnets of (Tn)n∈N.
Abstract: By a dynamical system we mean a pair of (X,T), whereX is compact Hausdorff space. In this paper we define an adherence semigroupA(X,T--Xx, which is the set of all pointwise limit of subnets of(Tn)n∈N. We will prove some commonness between adherence semigroup and Ellis semigroup.
1 citations