Some categorical aspects of BCH-algebras

We read more 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 airpods in jacksonville 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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