The Condition (S)Extension of Positive Implicative BCK-Algebras
Received:December 25, 1992  
Key Words: positive implicative BCK-algebra   implicative BCK- algebra   BCK-algebrawith the condition （S）   BCI-endomorphism   semigroup.  
Fund Project:
Author NameAffiliation
Chen Zhaomu Dept. of Math.
Fujian Normal University Fuzhou 350007 
Huang Yisheng Dept. of Math.
Fujian Longyan Normal College Longyan 364000 
Hits: 2023
Download times: 984
Abstract:
      In this note, we prove that every positive implicative BCK-algebra X canbe imbedded in a positive implicative BCK-algebra X with the condition (S), and X isa subalgebra of X*. In particular, whenever X is implicative, so is X*.
Citation:
DOI:10.3770/j.issn:1000-341X.1995.02.012
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.