อันดับธรรมชาติบนกึ่งกรุปของการแปลงที่คงสภาพEในตัว
The objectives of this paper, we study a necessary and sufficient condition of natural order on a semigroup TsE ( x ). We also find maximal and minimal elements of TsE ( x ) .Let T( x ) be the full transformation semigroup on a set X ≠ Ø and E be an equivalence relation on X . In [1] show that t...
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| Format: | Theses and Dissertations |
| Language: | other |
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เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่
2020
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| Online Access: | http://cmuir.cmu.ac.th/jspui/handle/6653943832/69593 |
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| Institution: | Chiang Mai University |
| Language: | other |
| Summary: | The objectives of this paper, we study a necessary and sufficient condition of natural order on a semigroup TsE ( x ). We also find maximal and minimal elements of TsE ( x ) .Let T( x ) be the full transformation semigroup on a set X ≠ Ø and E be an equivalence relation on X . In [1] show that the set TsE ( x ) ={f ∈ T( x ) | (x,xf)∈ E, ∀x ∈X } is a regular subsemigroup of T( x ) . In [2], the natural order on a regular semigroup is defined by a≤b if and only if eb = a = bf for some e ,f ∈ E(S ), where E(S) is the set of all the idempotent elements of S . In this paper, we investigate the condition under f≤g which for two elements f,g in TsE ( x ) . Also, the maximal and minimal elements are described. |
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