Regularity of some invariant transformation semigroups
| Autor: | Hataiwit Palasak, Tuangrat Chaichana, Sureeporn Chaopraknoi |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Asian-European Journal of Mathematics. |
| ISSN: | 1793-7183 1793-5571 |
| DOI: | 10.1142/s1793557123501620 |
| Popis: | Let [Formula: see text] be a nonempty subset of [Formula: see text]. The invariant subsemigroup of the full transformation semigroup [Formula: see text] is denoted by [Formula: see text] In this paper, we characterize the regularity of the following subsemigroups: [Formula: see text] [Formula: see text] the complement sets of both [Formula: see text] and [Formula: see text]. These are generalizations of certain subsemigroups of [Formula: see text]. Furthermore, infinitely many regular and nonregular elements of each semigroup are given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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