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BCC-algebras and residuated partially-ordered groupoid

In: Mathematica Slovaca, vol. 63, no. 3
Xiaohong Zhang
Detaily:
Rok, strany: 2013, 397 - 410
Kľúčové slová:
BCC-algebra, residuated lattice, residuated lattice ordered groupoid, weakly integral residuated lattice, pseudo-BCI algebra
O článku:
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.
Ako citovať:
ISO 690:
Zhang, X. 2013. BCC-algebras and residuated partially-ordered groupoid. In Mathematica Slovaca, vol. 63, no.3, pp. 397-410. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0104-7

APA:
Zhang, X. (2013). BCC-algebras and residuated partially-ordered groupoid. Mathematica Slovaca, 63(3), 397-410. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0104-7
O vydaní:
Publikované: 1. 6. 2013