On some classes of BCH-algebras
The concept of a BCH-algebra is a generalization of the concept of a BCI-algebra. 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 wea...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003957 |
| Summary: | The concept of a BCH-algebra is a generalization of the concept of
a BCI-algebra. 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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| ISSN: | 0161-1712 1687-0425 |