| 0-范畴,强〈E〉*-稠密半群 |
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| 引用本文： | 江中豪.0-范畴,强〈E〉*-稠密半群[J].数学进展,2003,32(5):597-605. |
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| 作者姓名： | 江中豪 |
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| 作者单位： | 北方交通大学数学系,北京,100044,中国 |
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| 基金项目： | This research was supportd by SRF for ROCS,SEM and NSF of Guangdong Province,China |
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| 摘 要： | 我们通过本原逆半群作用在强〈E〉-酉,〈E〉-稠密范畴上,给出了0-范畴,(强)〈E〉*-稠密,强〈E〉*-酉半群的一个刻画.我们也证明了每一个0-范畴,强〈E〉*-稠密半群有一个0-范畴,(强)〈E〉*-稠密,强〈E〉*-酉的覆盖.
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| 关 键 词： | 本原逆半群 0-范畴半群 酉半群 稠密半群 覆盖 |
On Categorical Strongly〈E〉*-dense Semigroups |
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| Abstract.On Categorical Strongly〈E〉*-dense Semigroups[J].Advances in Mathematics,2003,32(5):597-605. |
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| Authors: | Abstract |
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| Abstract: | We characterize categorical, (strongly) (E)*-dense, strongly (E)*-unitary semigroups by means of actions of primitive inverse semigroups on strongly (E)-unitary, (E)-dense categories. We also prove that every categorical, strongly (E) *-dense semigroup has a cover which is a categorical, (strongly) (E) *-dense, strongly (E) *-unitary semigroup. |
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| Keywords: | categorical semigroup strongly (E)~*-dense semigroup cover |
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