Representable tolerances in varieties

被引：0

作者：

Lipparini, Paolo ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Novello Matemat, Viale Ric Sci, I-00133 Rome, Italy

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2013年 / 79卷 / 1-2期

关键词：

tolerance; representable; image of a congruence; lattice (quasi-) variety;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss two possible ways of representing tolerances: first, as a homomorphic image of some congruence; second, as the relational composition of some compatible relation with its converse. The second way is independent from the variety under consideration, while the first way is variety-dependent. The relationships between these two kinds of representations are clarified. As an application, we show that any tolerance on some lattice L is the image of some congruence on a subalgebra of L x L. This is related to recent results by G. Czedli, G. Gratzer and E.W. Kiss.

引用

页码：3 / 16

页数：14

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