期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203007634
出版社：Hindawi Publishing Corporation
摘要：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.
