Title of article
On certain semigroups of transformations that preserve double direction equivalence
Author/Authors
Deng ، L. - Guizhou Normal University
Pages
10
From page
1015
To page
1024
Abstract
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 discuss the Green s *relations, certain *ideal and certain Rees quotient semigroup for TE*(X).
Keywords
Transformation semigroups , Equivalence , Green s * , relations , * , Ideal , Rees quotient semigroup
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2016
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456031
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