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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 Name
Affiliation
Chen Zhaomu
Dept. of Math.
Fujian Normal University Fuzhou 350007
Huang Yisheng
Dept. of Math.
Fujian Longyan Normal College Longyan 364000
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:
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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
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