Finite lattices as relative congruence lattices of finite algebras

被引：4

作者：

Nurakunov, A. M. ^{[1
]}

机构：

[1] Natl Acad Sci, Inst Math, Bishkek 720071, Kyrgyzstan

来源：

ALGEBRA UNIVERSALIS | 2007年 / 57卷 / 02期

关键词：

quasivariety; finite lattice; relative congruence lattice;

D O I：

10.1007/s00012-007-2036-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a finite algebra and Q a quasivariety. By Con(Q) A is meant the lattice of congruences theta on A with A/theta epsilon Q. For any positive integer n, we give conditions on a finite algebra A under which for any n-element lattice L there is a quasivariety R such that Con(R) A congruent to L.

引用

页码：207 / 214

页数：8

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