in this paper we study the existence of commuting regular elements, verifying the notion left (right) commuting regular elements and its properties in the groupoid g(n) . also we show that g(n) contains commuting regular subsemigroup and give a necessary and sucient condition for the groupoid g(n) to be commuting regular.

Abstract We present some generalizations of the well-known correspondence, found by Exel, between partial actions a group G on set X and semigroup homomorphism

For a topological group G we introduce the algebra SUC(G) of strongly uniformly continuous functions. We show that SUC(G) contains the algebra WAP (G) of weakly almost periodic functions as well as the algebras LE(G) and Asp(G) of locally equicontinuous and Asplund functions respectively. For the Polish groups of order preserving homeomorphisms of the unit interval and of isometries of the Urys...

The reference for definitions both in the above theorem and in what follows is Topological dynamics by W. H. Gottschalk and G. A. Hedlund, Providence, 1955. It is tacitly assumed both in the statement of the theorem and in the remainder of the paper that the uniformity of X induces the (Hausdorff) topology. We observe that it is obvious that (II) implies (I); the remainder of the paper is devot...

The value semigroup $$\Gamma $$ and the set $$\Lambda of 1-forms are, respectively, a topological an analytical invariant plane branch. Given branch $${\mathcal {C}}$$ with there are finitely number distinct possible sets according to analytic class . In this work we show that determines present effective method recover by particular, allows us decide if subset $${\mathbb {N}}$$ is for

In [arXiv:1904.12333], we introduced the concept of escaping set in general setting for a topological space and extended notion limit semigroup generated by continuous self maps. this paper continue with extending other notions recurrence generalized analogs to their counterpart classical theory dynamics. We discuss periodic point, nonwandering point chain recurrent more establish correlation b...

in the present paper, we consider biflatness of certain classes of semigroupalgebras. indeed, we give a necessary condition for a band semigroup algebra to bebiflat and show that this condition is not sufficient. also, for a certain class of inversesemigroups s, we show that the biflatness of ell^{1}(s)^{primeprime} is equivalent to the biprojectivity of ell^{1}(s).

Let A be a C-algebra. The Cuntz semigroup W (A) is an analogue for positive elements of the semigroup V (A) of Murray-von Neumann equivalence classes of projections in matrices over A. We prove stability theorems for the Cuntz semigroup of a commutative C-algebra which are analogues of classical stability theorems for topological vector bundles over compact Hausdorff spaces. Let SDG denote the ...