Congruences on ideal nil-extension of completely regular semigroups

来源 :中国科学通报：英文版 | 被引量 : 0次 | 上传用户：libolb666

【摘要】

：

让 S 是由有零的无 semigroupQ 的完全常规的 semigroupK 的理想的无扩展。可被考虑的一致对的一个概念(未， S 的蠅) 被介绍，在未和蠅分别地是 Q 和一致 onK 上的一致的地方。S

【作者】

：

Xueming Ren Yuqi Guo Jiaping C

【机构】

：

XianUnivArchitecture&,Technol,YunnanUniv,ChineseUnivHongKong

【出处】

：

中国科学通报：英文版

【发表日期】

：

1998年5期

【关键词】

：

COMPLETELY regular SEMIGROUPS IDEAL nil-extension congruences. completely regula

【基金项目】

：

ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .194710 6 8) ,andbytheAppliedFoundamentalResearchFundationofYunnan (GrantNo .96a0 0 1z)andby 2 0 0 .6 0 0 .380oftheChineseUniv

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让 S 是由有零的无 semigroupQ 的完全常规的 semigroupK 的理想的无扩展。可被考虑的一致对的一个概念(未， S 的蠅) 被介绍，在未和蠅分别地是 Q 和一致 onK 上的一致的地方。S 上的每一致能是，这被证明特别地由可被考虑的一致对的 respresented (未，蠅) ofS。建议那 ? k 表示 idealK ofS 导致的 Rees 一致。然后，它在 S 上为任何一致蟽被看那，印射的螕：蟽 | 鈫 ?(蟽 Q，蟽 K ) 是从 S 上的所有一致的集合的保存顺序的 bijec

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Congruences on ideal nil-extension of completely regular semigroups

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