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.
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页码：245 / 254
页数：10
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