Completely Regular Semigroups
Completely Regular Semigroups
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DOI：
10.1007/978-1-4899-2608-1_24
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
M. Petrich;N. Reilly
中科院分区：
文献类型：
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作者：
M. Petrich;N. Reilly
半群S是完全正则的当且仅当它是群的不交并。这一概念在表述上如此简单，40多年来一直吸引着研究人员。在早期，基本的命题是，这种客体的理论必须容易地从群体的理论中推导出来。里斯和克利福德的早期工作在一定程度上支持了这种观点。然而，最近几年的工作，特别是关于簇的工作表明，完全正则半群的研究需要它自己巧妙的工具库。
A semigroup S iscompletely regularif and only if it is a disjoint union of groups. This concept, so simple in its formulation, has intrigued investigators for over forty years. In the early days, the underlying proposition was that the theory of such objects must necessarily be readily derivable from that for groups. The early work of Rees and Clifford gave some support to this notion. However, the work of recent years, especially that on varieties, has shown that the study of completely regular semigroups requires its own ingenious arsenal of tools.