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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เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่
2020
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| Online Access: | http://cmuir.cmu.ac.th/jspui/handle/6653943832/69572 |
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th-cmuir.6653943832-695722020-08-15T03:02:49Z Regularity in Semigroups of Quasi-onto Transformations ความเป็นปรกติในกึ่งกรุปของการแปลงควอซิออนทู Suthin Thongrak Asst. Prof. Dr. Preeyanuch Honyam 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). 2020-08-15T03:02:49Z 2020-08-15T03:02:49Z 2020-04 Thesis http://cmuir.cmu.ac.th/jspui/handle/6653943832/69572 en เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| continent |
Asia |
| country |
Thailand Thailand |
| content_provider |
Chiang Mai University Library |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
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). |
| author2 |
Asst. Prof. Dr. Preeyanuch Honyam |
| author_facet |
Asst. Prof. Dr. Preeyanuch Honyam Suthin Thongrak |
| format |
Theses and Dissertations |
| author |
Suthin Thongrak |
| spellingShingle |
Suthin Thongrak Regularity in Semigroups of Quasi-onto Transformations |
| author_sort |
Suthin Thongrak |
| title |
Regularity in Semigroups of Quasi-onto Transformations |
| title_short |
Regularity in Semigroups of Quasi-onto Transformations |
| title_full |
Regularity in Semigroups of Quasi-onto Transformations |
| title_fullStr |
Regularity in Semigroups of Quasi-onto Transformations |
| title_full_unstemmed |
Regularity in Semigroups of Quasi-onto Transformations |
| title_sort |
regularity in semigroups of quasi-onto transformations |
| publisher |
เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ |
| publishDate |
2020 |
| url |
http://cmuir.cmu.ac.th/jspui/handle/6653943832/69572 |
| _version_ |
1681752745304915968 |