On branchwise implicative BCI-algebras
We introduce a new class of BCI-algebras, namely the class of branchwise implicative BCI-algebras. This class contains the class of implicative BCK-algebras, the class of weakly implicative BCI-algebras (Chaudhry, 1990), and the class of medial BCI-algebras. We investigate necessary and sufficient...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202004970 |
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| Summary: | We introduce a new class of BCI-algebras, namely the class of
branchwise implicative BCI-algebras. This class contains the
class of implicative BCK-algebras, the class of weakly implicative
BCI-algebras (Chaudhry, 1990), and the class of medial BCI-algebras.
We investigate necessary and sufficient conditions for two types of BCI-algebras
to be branchwise implicative BCI-algebras. |
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| ISSN: | 0161-1712 1687-0425 |