Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余)
设T(X)为有限集X上的全变换半群，Y为X的任意非空子集，引入有限弱Y-稳定变换半群W(Y) = {α∈T(X): Yα⊆Y}，证明了当W(Y)满足1< |Y| < |X|时，W(Y)有且仅有2个极小同余.另外，当|Y| =|X|（即Y=X或1= |Y|<|X|时，W(Y)只有唯一的极小同余.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Zhejiang University Press
2011-09-01
|
| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2011.05.002 |
| _version_ | 1797236023992778752 |
|---|---|
| author | FENGZheng-hao(冯正浩) YANGXiu-liang(杨秀良) |
| author_facet | FENGZheng-hao(冯正浩) YANGXiu-liang(杨秀良) |
| author_sort | FENGZheng-hao(冯正浩) |
| collection | DOAJ |
| description | 设T(X)为有限集X上的全变换半群，Y为X的任意非空子集，引入有限弱Y-稳定变换半群W(Y) = {α∈T(X): Yα⊆Y}，证明了当W(Y)满足1< |Y| < |X|时，W(Y)有且仅有2个极小同余.另外，当|Y| =|X|（即Y=X或1= |Y|<|X|时，W(Y)只有唯一的极小同余. |
| first_indexed | 2024-04-24T16:57:16Z |
| format | Article |
| id | doaj.art-5cc6893115664897a3ecf95d5746f2b6 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:57:16Z |
| publishDate | 2011-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-5cc6893115664897a3ecf95d5746f2b62024-03-29T01:58:30ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972011-09-0138549549610.3785/j.issn.1008-9497.2011.05.002Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余)FENGZheng-hao(冯正浩)0YANGXiu-liang(杨秀良)Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China(杭州师范大学 理学院，浙江 杭州 310036)设T(X)为有限集X上的全变换半群，Y为X的任意非空子集，引入有限弱Y-稳定变换半群W(Y) = {α∈T(X): Yα⊆Y}，证明了当W(Y)满足1< |Y| < |X|时，W(Y)有且仅有2个极小同余.另外，当|Y| =|X|（即Y=X或1= |Y|<|X|时，W(Y)只有唯一的极小同余.https://doi.org/10.3785/j.issn.1008-9497.2011.05.002弱y-稳定极小同余rees同余 |
| spellingShingle | FENGZheng-hao(冯正浩) YANGXiu-liang(杨秀良) Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余) Zhejiang Daxue xuebao. Lixue ban 弱y-稳定 极小同余 rees同余 |
| title | Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余) |
| title_full | Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余) |
| title_fullStr | Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余) |
| title_full_unstemmed | Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余) |
| title_short | Minimal congruences on finite transformation semigroups of weak Y-stabilizer(有限弱Y-稳定变换半群的极小同余) |
| title_sort | minimal congruences on finite transformation semigroups of weak y stabilizer 有限弱y 稳定变换半群的极小同余 |
| topic | 弱y-稳定 极小同余 rees同余 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2011.05.002 |
| work_keys_str_mv | AT fengzhenghaoféngzhènghào minimalcongruencesonfinitetransformationsemigroupsofweakystabilizeryǒuxiànruòywěndìngbiànhuànbànqúndejíxiǎotóngyú AT yangxiuliangyángxiùliáng minimalcongruencesonfinitetransformationsemigroupsofweakystabilizeryǒuxiànruòywěndìngbiànhuànbànqúndejíxiǎotóngyú |