Weak homomorphisms and invariants: an example

Andrew Adler

Vol. 65 (1976), No. 2, 293–297

DOI: 10.2140/pjm.1976.65.293

Abstract

Notions of weak isomorphism, weak epimorphism, and weak embedding are defined. For countable algebras, these specialize to the ordinary notions. Certain invariants for superatomic Boolean algebras are described. It is shown that the existence or non-existence of weak isomorphisms, weak epimorphisms, and weak embeddings between two such algebras A and B can be decided from the invariants of A and B.

Mathematical Subject Classification

Primary: 06A40, 06A40

Milestones

Received: 16 July 1975

Published: 1 August 1976