Some categorical aspects of BCH-algebras
We show that the category BCH of BCH-algebras and BCH-homomorphisms is complete. We also show that it has coequalizers, kernel pairs, and an image factorization system. It is also proved that onto homomorphisms and coequalizers, and monomorphisms and one-to-one homomorphisms coincide, respectively,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203007634 |
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| Summary: | We show that the category BCH of BCH-algebras and
BCH-homomorphisms is complete. We also show that it has
coequalizers, kernel pairs, and an image factorization system. It
is also proved that onto homomorphisms and coequalizers, and
monomorphisms and one-to-one homomorphisms coincide,
respectively, in BCH. It is shown that MBCI is a coreflexive
subcategory of BCH. Regular homomorphisms have been defined and
their properties are studied. An open problem has been posed. |
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| ISSN: | 0161-1712 1687-0425 |