Some categorical aspects of BCH-algebras

Muhammad Anwar Chaudhry and Hafiz Fakhar-ud-din

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-12

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:171752

DOI: 10.1155/S0161171203007634

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