| 基半群为0-J-严格单半群的零直并的代数 |
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| 引用本文： | 刘海霞,姚海楼.基半群为0-J-严格单半群的零直并的代数[J].数学学报,1997(6). |
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| 作者姓名： | 刘海霞 姚海楼 |
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| 作者单位： | 兰州大学数学系(刘海霞)，中国科学院数学所(姚海楼) |
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| 摘 要： | 设Ａ是代数闭域ｋ上的一个具乘基Ｂ的有限维含幺结合代数，称半群Ｂ∪｛０｝为Ａ的基半群．本文给出了０ Ｊ 严格单半群的定义．对于基半群为０ Ｊ 严格单半群的零直并的代数，完全研究了它的代数表示型
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| 关 键 词： | 弱Brandt半群，本原适当半群，基本半群，0－J－严格单半群 |
Algebras Whose Basis Semigroups are Zero-direct Unions of 0 J* strict Simple Semigroups |
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| Liu Haixia.Algebras Whose Basis Semigroups are Zero-direct Unions of 0 J* strict Simple Semigroups[J].Acta Mathematica Sinica,1997(6). |
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| Authors: | Liu Haixia |
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| Abstract: | Let Abe a finite dimensional associative algebra containing a unit element with a multiplicative basis B over an algebraically closed field k, the semigroup B∪{0} is called a basis semigroup of A. In this paper, we give a definition of 0 J* strict simple semigroups. For the algebra whose basis semigroup is zero direct union of 0 J* strict simple semigroups we determine its representation type completely. |
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| Keywords: | Weak Brandt semigroups Primitive adequate semigroups Basis semigroups 0 J* strict simple semigroups |
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