| 平移同态的正规带及其膨胀 |
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| 引用本文： | 廖群英,喻秉钧.平移同态的正规带及其膨胀[J].四川师范大学学报(自然科学版),1999,22(2):125-129. |
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| 作者姓名： | 廖群英 喻秉钧 |
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| 作者单位： | 四川师范大学数学系,成都,610066 |
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| 基金项目： | 国家自然科学基金,四川省教委重点科研基金 |
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| 摘 要： | 给出了任意正规带（从而任意正则半群）和它们的膨胀为平移同态半群的充要条件．作为推论，证明了每左平移与每右平移都相关联的半群恰为矩形带或零半群
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| 关 键 词： | 平移同态半群 半群的膨胀 半群的中心 自同态 |
| 修稿时间： | 1998-10-20 |
NORMAL BANDS AND THEIR INFLATIONS WHOSE LEFT AND RIGHT TRANSLATIONS ARE ENDOMORPHISMS |
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| Liao Qunying,Yu Bingjun.NORMAL BANDS AND THEIR INFLATIONS WHOSE LEFT AND RIGHT TRANSLATIONS ARE ENDOMORPHISMS[J].Journal of Sichuan Normal University(Natural Science),1999,22(2):125-129. |
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| Authors: | Liao Qunying Yu Bingjun |
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| Abstract: | Sufficient and necessary conditions for an arbitrary normal band (therefore, any regular semigroup) or its inflation to be translation endomorphism semigroups are given. As a conseguence, it is proved that each left translation of semigroup S is linked with each right one if and only one if S is a rectangular band or null semigroup. |
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| Keywords: | Translation endmorphism semigoup Inflation of a semigroup The centre of a semigroup Endomorphism 1991 MSC 20M10 |
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