on certain semigroups of transformations that preserve double direction equivalence

نویسندگان

l. deng

school of mathematical science‎, ‎guizhou normal university‎, ‎guiyang 550001‎, ‎china.

چکیده

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).

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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).

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۴، صفحات ۱۰۱۵-۱۰۲۴

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