The equivalence of certain regular transformations

On certain semigroups of transformations that preserve double direction equivalence

Let TX be the full transformation semigroups on the set X. For an equivalence E on X, let TE(X) = {α ∈ TX : ∀(x, y) ∈ E ⇔ (xα, yα) ∈ E}It is known that TE(X) is a subsemigroup of TX. In this paper, we discussthe Green's *-relations, certain *-ideal and certain Rees quotient semigroup for TE(X).

on certain semigroups of transformations that preserve double direction equivalence

let tx be the full transformation semigroups on the set x. for an equivalence e on x, let te(x) = {α ∈ tx : ∀(x, y) ∈ e ⇔ (xα, yα) ∈ e}it is known that te(x) is a subsemigroup of tx. in this paper, we discussthe green's *-relations, certain *-ideal and certain rees quotient semigroup for te(x).

FUZZY SUBGROUPS AND CERTAIN EQUIVALENCE RELATIONS

In this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group G and give four equivalent conditions each ofwhich characterizes this relation. We demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. Moreover, we study the behavior of these equivalence classes under theaction of a...

Equivalence Transformations on Statecharts

Statecharts are a popular representation technique for conceptual models of the dynamics of a universe of discourse. However, designers are not supported in their work with dynamic models as well as they are for working with static models. We present a meta-model and a formalization of the semantics of a statechart language. Important results are the definition of the equivalence of statecharts...

Certain Nonlinear Transformations