Tolerances as images of congruences in varieties defined by linear identities

被引：6

作者：

Chajda, Ivan ^{[1
]}

Czedli, Gabor ^{[2
]}

Halas, Radomir ^{[1
]}

Lipparini, Paolo ^{[3
]}

机构：

[1] Palacky Univ, Dept Algebra & Geometry, Olomouc 77146, Czech Republic

[2] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

[3] Univ Roma Tor Vergata, Dept Math, I-00133 Rome, Italy

来源：

ALGEBRA UNIVERSALIS | 2013年 / 69卷 / 02期

关键词：

tolerance relation; homomorphic image of a congruence; linear identity; balanced identity;

D O I：

10.1007/s00012-013-0219-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An identity s = t is linear if each variable occurs at most once in each of the terms s and t. Let T be a tolerance relation of an algebra A in a variety defined by a set of linear identities. We prove that there exist an algebra B in the same variety and a congruence theta of B such that a homomorphism from B onto A maps theta onto T.

引用

页码：167 / 169

页数：3

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