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.
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页码：167 / 169
页数：3
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