CONGRUENCES ON FREE MONOIDS AND SUBMONOIDS OF POLYCYCLIC MONOIDS

被引：25

作者：

MEAKIN, J

SAPIR, M

机构：

[1] Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1993年 / 54卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S1446788700037149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a one-to-one ''group-like'' correspondence between congruences on a free monoid X* and so-called positively self-conjugate inverse submonoids of the polycyclic monoid P(X). This enables us to translate many concepts in semigroup theory into the language of inverse semigroups.

引用

页码：236 / 253

页数：18

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