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.

Published
2018-10-18
How to Cite
MOONEY, Christopher Park; WANG, Ying. On tau U-irreducible elements in strongly associate rings. Minnesota Journal of Undergraduate Mathematics, [S.l.], v. 4, n. 1, oct. 2018. ISSN 2378-5810. Available at: <https://mjum.math.umn.edu/index.php/mjum/article/view/59>. Date accessed: 17 feb. 2019.
Section
Articles