BCC-algebras and residuated partially-ordered groupoid (Q2843879)
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scientific article; zbMATH DE number 6201650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | BCC-algebras and residuated partially-ordered groupoid |
scientific article; zbMATH DE number 6201650 |
Statements
BCC-algebras and residuated partially-ordered groupoid (English)
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26 August 2013
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BCC-algebra
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residuated lattice
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residuated lattice-ordered groupoid
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weakly integral-residuated lattice
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pseudo-BCI algebra
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The paper is devoted to residuated po-groupoids and po-monoids and their connections to BCC-algebras and pseudo-BCI-algebras. Sections 2 and 3 recall some more or less known facts; it seems that the concepts of ``weakly integral'' and ``integral'' are not defined in a correct way. Section 4 contains a simple construction of a pseudo-BCI-algebra or a weakly integral-residuated po-monoid from a group and a bounded integral-residuated po-monoid (which is called a bounded pseudo-BCK (pP)-algebra).
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