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Involutory BCK-Algebras and Commutative Residuated Semigroups(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年01期
Page:
1-
Research Field:
·数学·
Publishing date:

Info

Title:
Involutory BCK-Algebras and Commutative Residuated Semigroups
Author(s):
Yang Wenqi
School of Mathematics and Information Science,Baoji University of Arts and Sciences,Baoji 721013,China
Keywords:
BCK-algebrainvolutory BCK-algebracommutation residuated semigroupadjoint ordered semigroupadjoint BCK-algebra
PACS:
O153.1
DOI:
10.3969/j.issn.1001-4616.2018.01.001
Abstract:
The concepts of adjoint ordered semigroups of involutory BCK-algebras and adjoint BCK-algebras of commutative residuated semigroups are introduced,and the relationship between them are investigated,their properties are discussed.

References:

[1] ISEKI K. An algebra related with a propositional calculus[J]. Proceedings of the Japan academy,1966,42:26-29.
[2]孟杰,刘用麟. BCK-代数引论[M]. 西安:陕西科学技术出版社,2001.
[3]HUANG Y S. BCI-algebra[M]. Beijing:Science Press,2006.
[4]杨闻起. BCI-代数与半群[M]. 北京:科学出版社,2011.
[5]谢祥云. 序半群引论[M]. 北京:科学出版社,2001.
[6]朱怡权. 蕴涵代数与BCK-代数[J]. 模糊系统与数学,2002,16(3):31-37.
[7]朱怡权. 关于正则余剩余格与对合BCK-格[J]. 模糊系统与数学,2010,24(1):23-28.

Memo

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Last Update: 2018-03-31