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弱正则*-半群的E-酉覆盖和纯覆盖
引用本文:贾爱霞,赵新梅,曾贤灏.弱正则*-半群的E-酉覆盖和纯覆盖[J].兰州工业高等专科学校学报,2011,18(3):6-8.
作者姓名:贾爱霞  赵新梅  曾贤灏
作者单位:1. 兰州工业高等专科学校基础学科部,甘肃兰州,730050
2. 兰州工业高等专科学校学报编辑部,甘肃兰州,730050
摘    要:证明了半群S和T的子直积是弱正则*-半群时S和T也是弱正则*-半群.给出弱正则*-半群的子直积的构造.利用这一构造定理,研究弱正则*-半群的E-酉覆盖和纯覆盖.

关 键 词:弱正则*-半群  子直积  E-酉覆盖  纯覆盖

E-unitary Covers and Pure Covers of Weakly Regular *-Semigroups
JIA Ai-xia,ZHAO Xin-mei,ZENG Xian-hao.E-unitary Covers and Pure Covers of Weakly Regular *-Semigroups[J].Journal of Lanzhou Higher Polytechnical College,2011,18(3):6-8.
Authors:JIA Ai-xia  ZHAO Xin-mei  ZENG Xian-hao
Affiliation:JIA Ai-xia1,ZHAO Xin-mei1,ZENG Xian-hao2(1.Department of Basic Courses,Lanzhou Polytechnic College,Lanzhou 730050,China,2.Editoral Department of Lanzhou Polytechnic College,China)
Abstract:Two semigroups S and T are weakly regular *-semigroups are verified if the subdirect product of S and T is a weakly regular*-semigroup.A construction of all subdirect products of weakly regular *-semigroups is obtained.By using this construction principle,E-unitary covers and pure covers of weakly regular *-semigroups are investigated.
Keywords:weakly regular *-semigroup  subdirect product  E-unitary cover  pure cover  
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