Annihilators in BCK-algebras

被引：6

作者：

Halas, R ^{[1
]}

机构：

[1] Palacky Univ, Dept Algebra & Geometry, Olomouc 77900, Czech Republic

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2003年 / 53卷 / 04期

关键词：

BCK-algebra; deductive system; annihilator; pseudocomplement;

D O I：

10.1023/B:CMAJ.0000024536.04596.67

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the concepts of an annihilator and a relative annihilator of a given subset of a BCK-algebra A. We prove that annihilators of deductive systems of BCK-algebras are again deductive systems and moreover pseudocomplements in the lattice D(A) of a deductive systems on A. Moreover, relative annihilators of C is an element of D(A) with respect to B is an element of D(A) are introduced and serve as relative pseudocomplements of C w.r.t. B in D (A).

引用

页码：1001 / 1007

页数：7