双重伪补代数的假值理想的一点注记

王雷波,方捷

(广东技术师范学院计算机科学学院,广州 广东 510665)

双重伪补代数的假值理想的一点注记

王雷波,方捷

(广东技术师范学院计算机科学学院,广州 广东 510665)

介绍了双重伪补代数的假值理想和假值同余的概念,并刻画了它们的某些性质.特别地,给出了双重伪补代数的假值理想和假值同余的特征表示.

双重伪补代数;假值理想;假值同余

1 引言

2 主要结果

表2 定义一元运算“*”和“+”

图1 双重伪补代数L

为了刻画双重伪补代数的假值理想,需要下面的引理.

[1]Blyth T S,Varlet J C.Ockham Algebras[M].Oxford:Oxford University Press,1994.

[2]Rodrigues P J V,Silva H J.Ockham congruences whose quotient algebras are boolean[J].Communications in Algebra,2003,31:5391-5404.

[3]Adams M E,Katri˘n´ak T.A note on subdirectly irreducible double p-algebras[J].J.Austral.Math.Soc., 1983,35:46-58.

[4]Beazer R.The determination congruence on double p-algebras[J].Algebra Universalis,1976,6:121-129.

[5]Davey B A.Subdirectly irreducible distributive double p-algebras[J].Algebra Universalis,1978,8:73-88.

[6]Varlet J C.Regularity in double p-algebras[J].Algebra Universalis,1984,18:95-105.

A note on the falsity ideals of a double pseudocomplemented algebra

Wang Leibo,Fang Jie
(School of Computer Sciences,Guangdong Polytechnic Normal University,Guangzhou 510665,China)

In this note,we introduce two notions of the falsity ideal and falsity congruence on a distributive double pseudocomplemented algebra,and describe some properties of falsity ideals and falsity congruences.In particular,we give a description of falsity ideals and falsity congruences on a distributive double pseudocomplemented algebra.

double pseudocomplemented algebra,falsity ideal,falsity congruence

O153.1

A

1008-5513(2012)01-0119-04

2010-09-14.

广州技术师范学院科研基金.

王雷波(1983-),硕士,研究方向:格论与有序代数.

2010 MSC:06D30