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OALib Journal期刊
ISSN: 2333-9721
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拟纯正半群的E-酉拟纯正盖
, PP. 581-584
Keywords: 拟正则半群,拟纯正半群,E-酉盖
Abstract:
对任一拟纯正半群S，利用S(视为集合)上自由群G和半群的关系同态理论构作一个半群胚C，证明群G自由可迁地作用在C上.由此得到一个幺半群C1及半群P=C1＼{1C1}.证明P是E-酉拟纯正半群，G是P的最大群同态像，且S是P的幂等元分离同态像.从而,证明任意的拟纯正半群都存在给定群G上的E-酉拟纯正盖.
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