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BCC-algebras and residuated partially-ordered groupoid

โœ Scribed by Xiaohong Zhang


Book ID
120954950
Publisher
SP Versita
Year
2013
Tongue
English
Weight
275 KB
Volume
63
Category
Article
ISSN
0139-9918

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โœฆ Synopsis


Abstract

The aim of the paper is to investigate the relationship between BCC-algebras and residuated partially-ordered groupoids. We prove that an integral residuated partially-ordered groupoid is an integral residuated pomonoid if and only if it is a double BCC-algebra. Moreover, we introduce the notion of weakly integral residuated pomonoid, and give a characterization by the notion of pseudo-BCI algebra. Finally, we give a method to construct a weakly integral residuated pomonoid (pseudo-BCI algebra) from any bounded pseudo-BCK algebra with pseudo product and any group.


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