On tau U-irreducible elements in strongly associate rings
Christopher Park Mooney
Ying Wang
Westminster College
Abstract
We continue the study of U-factorization and τ-factorization by exploring further possible definitions of irreducible elements and associate relations. We are primarily interested in strongly associate rings where relationships between these definitions are more well behaved. We also show that all these definitions coincide for presimplifiable rings, such as any domain or quasi-local ring.
