| Autor: |
Palasak, Hataiwit, Chaichana, Tuangrat, Chaopraknoi, Sureeporn |
| Zdroj: |
Asian-European Journal of Mathematics; Sep2023, Vol. 16 Issue 9, p1-12, 12p |
| Abstrakt: |
Let Y be a nonempty subset of X. The invariant subsemigroup of the full transformation semigroup T (X) is denoted by T Y (X) = { α ∈ T (X) : Y α ⊆ Y }. In this paper, we characterize the regularity of the following subsemigroups: A M Y (X) = { α ∈ T Y (X) : { x ∈ X : | x α α − 1 | > 1 } is finite } , A E Y (X) = { α ∈ T Y (X) : X ∖ ran α is finite } and the complement sets of both A M Y (X) and A E Y (X). These are generalizations of certain subsemigroups of T (X). Furthermore, infinitely many regular and nonregular elements of each semigroup are given. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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