Conditions for Permutability of Congruences in Implication Algebras

被引：1

作者：

Castano, Diego N. ^{[1
]}

Diaz Varela, Jose Patricio ^{[1
]}

机构：

[1] Univ Nacl Sur, Inst Matemat Bahia Blanca, CONICET, RA-8000 Bahia Blanca, Buenos Aires, Argentina

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2009年 / 26卷 / 03期

关键词：

Implication algebras; Congruences; Permutability;

D O I：

10.1007/s11083-009-9123-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give conditions on an implication algebra A so that two congruences theta (1), theta (2) on A permute, i.e. theta (1) a similar to aEuro parts per thousand theta (2) = theta (2) a similar to aEuro parts per thousand theta (1). We also provide simpler conditions for permutability in finite implication algebras. Finally we present some applications of these characterizations.

引用

页码：245 / 254

页数：10

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