Some categorical aspects of BCH-algebras

Some categorical aspects of BCH-algebras

Blog Article

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 Trouser Jeans 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 Crutches and their properties are studied.An open problem has been posed.