The Semigroup Characterizations of Positive Implicative BCK-algebras

数学季刊 ›› 1998, Vol. 13 ›› Issue (3): 86-90.

The Semigroup Characterizations of Positive Implicative BCK-algebras

Department of Mathematics，Nanyang Teacherʾ s College; Department of Mathematics,Shanxi Normal University)

收稿日期:1996-03-10 出版日期:1998-09-30 发布日期:2024-10-25

The Semigroup Characterizations of Positive Implicative BCK-algebras

Department of Mathematics，Nanyang Teacherʾ s College; Department of Mathematics,Shanxi Normal University)

Received:1996-03-10 Online:1998-09-30 Published:2024-10-25

摘要/Abstract

摘要： Adjoint semigroups of BCI algebras were introduced by Huang [1] and some of its important properties were obtained. In this paper,some characterizations of positive implicative BCK algebras are given by discussing the adjoint semigroups. Moreover,the semigroup differences between positive BCK algebras and implicative BCK algebras are discussed,and some semigroup characterizations of implicative BCK algebras are given.

关键词: , positive implicative BCK-algebra, implicative BCK-algebra, adjoint semigroup, ideal, order filter

Abstract: Adjoint semigroups of BCI algebras were introduced by Huang [1] and some of its important properties were obtained. In this paper,some characterizations of positive implicative BCK algebras are given by discussing the adjoint semigroups. Moreover,the semigroup differences between positive BCK algebras and implicative BCK algebras are discussed,and some semigroup characterizations of implicative BCK algebras are given.

Key words: , positive implicative BCK-algebra, implicative BCK-algebra, adjoint semigroup, ideal, order filter

中图分类号:

O152

徐少贤, 黄文平. The Semigroup Characterizations of Positive Implicative BCK-algebras[J]. 数学季刊, 1998, 13(3): 86-90.

Xu Shaoxian, Huang Wenping . The Semigroup Characterizations of Positive Implicative BCK-algebras[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(3): 86-90.

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The Semigroup Characterizations of Positive Implicative BCK-algebras

The Semigroup Characterizations of Positive Implicative BCK-algebras

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