Regularity and abundance on semigroups of transformations preserving an equivalence relation on an invariant set
Let $ T(X) $ be the full transformation semigroup on a nonempty set $ X $. For an equivalence relation $ E $ on $ X $ and a nonempty subset $ Y $ of $ X $, let $ \overline{S}_E(X, Y) = \{ \alpha \in T(X) : \forall x, y \in Y, (x, y) \in E \Rightarrow (x \alpha, y \alpha) \in E, x \alpha, y \al...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023926?viewType=HTML |