全子半群构成链的正则半群

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英文篇名：Regular Semigroup of Chain Consisting of Complete Sub-semigroup 作者：陶禹桦 ; 胡运华 英文作者：Tao Yuhua;Hu Yunhua;School of Science,Lanzhou University of Technology; 关键词：正则半群 ; 全子半群 ; 格 ; 链 英文关键词：Regular semigroup;;Full sub-semigroup;;Lattice;;Chain 中文刊名：GSKX 英文刊名：Journal of Gansu Sciences 机构：兰州理工大学理学院; 出版日期：2018-06-25 出版单位：甘肃科学学报 年：2018 期：v.30;No.133 基金：国家自然科学基金(1126103) 语种：中文; 页：GSKX201803001 页数：3 CN：03 ISSN：62-1098/N 分类号：4-6

摘要

半群S的子半群定义为全子半群,若S的所有幂等包含在子半群中。通过研究正则半群的全子半群格,得到了正则半群的全子半群格构成链的一个充分必要条件。并且推广出一类特殊的正则半群,纯正半群的全子半群格构成链的一个充分必要条件。进而得到纯正半群S的全子半群格构成链,当且仅当正则半群S的全正则子半群格构成链。
        The definition of semigroup of semigroup Sis complete semigroup if all powers of Sare included in the sub-semigroup.This paper realized a necessary and sufficient condition for the dynamic combination of lattice of full sub-semigroups of regular semigroup by studying lattice of full sub-semigroups of regular semigroup.And it generalized one special class of regular semigroup,a necessary and sufficient condition of lattice of full sub-semigroups dynamic combination of orthodox semigroup.Then lattice of full subsemigroups dynamic combination of orthodox semigroup S was realized when and only when lattice of full sub-semigroups dynamic combination of regular semigroup Sis.

引文

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