CERTAIN CONGRUENCES ON EVENTUALLY REGULAR SEMIGROUPS I

被引：0

作者：

Gigon, Roman S. ^{[1
]}

机构：

[1] Univ Bielsko Biala, Dept Math, PL-43309 Bielsko Biala, Poland

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2015年 / 52卷 / 04期

关键词：

Semigroup theory; eventually regular semigroup; group congruence; semilattice congruence; semilattice of groups congruence; UBG-congruence; USG-congruence; idempotent pure congruence; E-unitary semigroup; E-unitary congruence; FUNDAMENTAL SEMIGROUPS; LEAST SEMILATTICE; LATTICE;

D O I：

10.1556/012.2015.52.4.1313

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A semigroup is called eventually regular if each of its elements has a regular power. In this paper we study certain fundamental congruences on an eventually regular semigroup. We generalize some results of Howie and Lallement (1966) and LaTorre (1983). In particular, we give a full description of the semilattice of group congruences (together with the least such a congruence) on an arbitrary eventually regular (orthodox) semigroup. Moreover, we investigate UBG-congruences on an eventually regular semigroup. Finally, we study the eventually regular subdirect products of an E-unitary semigroup and a Clifford semigroup.

引用

页码：434 / 449

页数：16

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