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Split Quasi-adequate Semigroups 被引量：1

Split Quasi-adequate Semigroups
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摘要 The so-called split IC quasi-adequate semigroups are in the class of idempotent-connected quasi-adequate semigroups. It is proved that an IC quasi-adequate semigroup is split if and only if it has an adequate transversal. The structure of such semigroup whose band of idempotents is regular will be particularly investigated. Our obtained results enrich those results given by McAlister and Blyth on split orthodox semigroups. The so-called split IC quasi-adequate semigroups are in the class of idempotent-connected quasi-adequate semigroups. It is proved that an IC quasi-adequate semigroup is split if and only if it has an adequate transversal. The structure of such semigroup whose band of idempotents is regular will be particularly investigated. Our obtained results enrich those results given by McAlister and Blyth on split orthodox semigroups.
作者 Xiao Jiang GUO Ting Ting PENG
机构地区 Department of Mathematics Department of Base
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第2期425-438,共14页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China of China(Grant No.10961014) Natural Science Foundation of Jiangxi Province the SF of Education Department of Jiangxi Province,China(Grant No.GJJ11388)
关键词 Quasi-adequate semigroup adequate semigroup adequate transversal regular band type-A semigroup Quasi-adequate semigroup, adequate semigroup, adequate transversal, regular band,type-A semigroup
分类号 O152.7 [理学—基础数学] O657.720.3 [理学—分析化学]
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Acta Mathematica Sinica,English Series
2012年 第2期

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