On a class of left type-A monoids

被引：0
|
作者：
Chen J. [1 ]
Rui C. [2 ]
机构：
[1] Department of Mathematics, Faculty of Science, Xi'an Jiaotong University, Xi'an
[2] Department of Mathematics, Yunnan University, Kunming, Yunnan
来源：
Semigroup Forum | 2000年 / 60卷 / 2期
关键词：
Structure Theorem; Identity Relation; Cancellative Congruence;
D O I：
10.1007/s002339910021
中图分类号：
学科分类号：
摘要：
For a left type-A monoid S, let τ be the congruence on S generated by script R sign*. There exists a congruence ρ on S which induces the least right cancellative congruence on each of the τ-classes. In this paper we investigate the congruence ρ and give a structure theorem for the class of all left type-A monoids for which ρ ∩ script R sign* is the identity relation.
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页码：284 / 295
页数：11
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