Definition 1.1. A topological semigroup is a topological space S together with a continuous function m : S × S → S such that S is Hausdorff andm is associative. A subsemigroup of a semigroup S is a nonvoid set A ⊂ S such that A2 ⊂ A, and A is called a subgroup of S if it is a group with respect tom. An element e of a topological semigroup S is called an idempotent if e2 e. Similarly, an element...

The purpose of this paper is to investigate the dynamical systems in the context of topological semigroup actions in intuitionistic fuzzy 2-metric spaces. AMS Subject Classification : 46 S 40.

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In this paper we prove two new results about closed semigroups in the family of solvable groups Hmn := R nφ R where φ, the structure homomorphism, maps nontrivially into the center of Aut(Rn). The rst result states that the closure of a semigroup generated by a set in Hmn that is not included in a maximal semigroup with nonempty interior is actually a group. The second result states that among ...

We study the receptive metric entropy for semigroup actions on probability spaces, inspired by a similar notion of topological introduced Hofmann and Stoyanov. analyze its basic properties relation with classical entropy. In case compact spaces we compare looking Variational Principle. With this aim propose several characterizations Finally introduce local Bowen generalized in setting amenable ...