Abundant semigroups with a multiplicative adequate transversal

被引:28
作者
Guo, XJ [1 ]
机构
[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
关键词
abundant semigroup; adequate semigroup; left (right) normal band;
D O I
10.1007/s101140200170
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to investigate abundant semigroups with a multiplicative adequate transversal. Some properties and characterizations for such semigroups aye obtained. In particular, we establish the structure of this class of abundant semigroups in terms of left normal bands, right normal bands and adequate semigroups with some simple compatibility conditions. Finally, we apply this structure to some special cases.
引用
收藏
页码:229 / 244
页数:16
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