| 满足置换恒等式的拟正则半群的半格分解 |
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| 引用本文： | 龙冬阳. 满足置换恒等式的拟正则半群的半格分解[J]. 中山大学学报(自然科学版), 1992, 31(1): 110-112 |
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| 作者姓名： | 龙冬阳 |
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| 作者单位： | 中山大学数学系 |
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| 摘 要： | 讨论满足置换恒等式的半群的半格分解问题,证明了每一满足置换恒等式的半群可唯一分解为Archimedean半群的半格;每一满足置换恒等式的拟正则半群可分解为矩形带群的幂零扩张的半格。
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| 关 键 词： | 置换恒等式 半格 矩形带群 |
On Semilattice Decompositions of Eventually Regular Semigroups with Permutation Identities |
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| Long Dongyang. On Semilattice Decompositions of Eventually Regular Semigroups with Permutation Identities[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1992, 31(1): 110-112 |
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| Authors: | Long Dongyang |
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| Affiliation: | Long Dongyang Department of Mathematics |
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| Abstract: | We prove that every semigroup with permutation identities is uniquely expressible as a semilattice of Archimedean semigroups, and that every eventually regular semigroup with permutation identities is a semilattice of nil-extension of rectangular groups. |
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| Keywords: | permutation identities semilattice rectangular groups |
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