Equational theories as congruences of enriched monoids

被引：3
|
作者：
Nurakunov, A. M. [1 ]
机构：
[1] Natl Acad Sci, Inst Math, Bishkek 720071, Kyrgyzstan
来源：
ALGEBRA UNIVERSALIS | 2008年 / 58卷 / 03期
关键词：
equational theory; variety; lattice; monoid; congruence;
D O I：
10.1007/s00012-008-2080-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The problem of characterizing the lattices of equational theories is still unsolved. In this paper we describe a class K of monoids enriched by two unary operations and show that a lattice L is a lattice of equational theories if and only if L is isomorphic to a lattice of congruences of some enriched monoid belonging to K.
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页码：357 / 372
页数：16
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