| 弱P—正则半群 |
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| 引用本文： | 张荣华.弱P—正则半群[J].数学进展,2001,30(3):203-217. |
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| 作者姓名： | 张荣华 |
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| 作者单位： | 云南大学数学研究所 |
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| 基金项目： | The project is jointly
supported by the NSFC (No. 19761004), and the Foundation of STC of Yunnan Province.This is
a part of my doctoral thesis. |
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| 摘 要： | 在本文中，我们刻画弱P－正则半群上的最大幂等分离同余，并且证明了有超C－集的弱P－正则半群SP]是拟P－正则当且仅当它同构于WB（p)P^*]和某个弱正则^*-半群T的织积，其中B是SP]的半带，最后，我们获得，在一般情况下，WB(p)P]的弱P－正则半群但不是P－正则半群的条件。
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| 关 键 词： | P－正则 弱P－正则 弱P－正则半群 最大幂等分离 同余 拟P－正则 同构 织积 |
| 修稿时间： | 1998年1月6日 |
On Weakly P-Regular Semigroups |
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| Zhang Ronghua.On Weakly P-Regular Semigroups[J].Advances in Mathematics,2001,30(3):203-217. |
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| Authors: | Zhang Ronghua |
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| Abstract: | In this paper, we characterize the maximum idempotent-separating congruences on weakly P-regular semigroups and prove that a weakly P-regular semigroup SP] with a over-C-set P is quasi-P-regular if and only if it is just isomorphic to the spined product of WB(P)P*] and a weakly regular *-semigroup T, where B is the semiband of SP]. Finally, we obtain that, in general, the condition that WB(P)P*] is a weakly P-regular semigroup but not a P-regular semigroup. |
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| Keywords: | P-regular weakly regular *-semigroup weakly P-regular |
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