Some categorical aspects of BCH-algebras (Q1811948)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some categorical aspects of BCH-algebras |
scientific article; zbMATH DE number 1930062
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some categorical aspects of BCH-algebras |
scientific article; zbMATH DE number 1930062 |
Statements
Some categorical aspects of BCH-algebras (English)
0 references
18 June 2003
0 references
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 are defined and their properties are studied. An open problem is posed.
0 references
category
0 references
BCH-algebras
0 references
BCH-homomorphisms
0 references
