Regularity in Semigroups of Quasi-onto Transformations
Let X be an in nite set with cardinal p and let T(X) denote the semigroup (under composition) of transformations on X. For each in nite cardinal q such that q ≤ p, let AE(X; q) = {α ∈ T(X) : d(α) < q} when d(α) = |X\imα|. Then AE(X, q) is a semigroup of quasi-onto tranformations on X. In this...
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| Format: | Theses and Dissertations |
| Language: | English |
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เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่
2020
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| Online Access: | http://cmuir.cmu.ac.th/jspui/handle/6653943832/69572 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | Let X be an in nite set with cardinal p and let T(X) denote the semigroup (under
composition) of transformations on X. For each in nite cardinal q such that q ≤ p, let
AE(X; q) = {α ∈ T(X) : d(α) < q}
when d(α) = |X\imα|. Then AE(X, q) is a semigroup of quasi-onto tranformations on
X. In this thesis, we characterize left regular elements, right regular elements, completely
regular elements, unit regular elements and intra-regular elements of AE(X,q). |
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