THE POSET STRUCTURE OF POSITIVE IMPLICATIVE BCK-ALGEBRAS

被引：4
|
作者：
GUZMAN, F [1 ]
机构：
[1] SUNY BINGHAMTON,DEPT MATH SCI,BINGHAMTON,NY 13902
来源：
ALGEBRA UNIVERSALIS | 1994年 / 32卷 / 03期
关键词：
D O I：
10.1007/BF01235177
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Many algebraic structures can be characterized in terms of some order structure. Among them are lattices, semilattices, boolean algebras, and semi-boolean algebras. In this paper we show that a pBCK-algebra can be characterized in terms of two order relations, one of which also makes it an implicative BCK-algebra. One of these orders is the well-known order for the larger class of BCK-algebras; the other one is a new order we introduce here.
引用
收藏
页码：398 / 406
页数：9
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