On some classes of BCH-algebras (Q5932790)
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scientific article; zbMATH DE number 1607422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some classes of BCH-algebras |
scientific article; zbMATH DE number 1607422 |
Statements
On some classes of BCH-algebras (English)
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30 October 2001
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m5mmary: BCH-algebras are a generalization of BCI-algebras. It is shown that weakly commutative BCH-algebras are weakly commutative BCI-algebras. Moreover, the concepts of weakly positive implicative and weakly implicative BCH-algebras are defined and it is shown that every weakly implicative BCH-algebra is a weakly positive implicative BCH-algebra. The weakly positive implicative BCH-algebras are characterized with the help of their self-maps. Two open problems are posed.
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BCI-algebras
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BCH-algebras
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