On the nonexistence of polynomial formulas for the catenary and the tame degrees of finitely generated monoids
Abstract
In the last two decades, there has been a wealth of results determining the precise value of the catenary degree and the tame degree. However, these results have been mostly limited to very special classes of monoids and domains. In this work, we now show that there is no polynomial formula, neither for the catenary nor for the tame degree, which is valid for a sufficiently large class of finitely generated monoids.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Rings
Modules
and Algebras
Geometric and Algebraic Topology
Publication details
- Journal / source
- Journal of Algebra and Its Applications
- Publisher
- World Scientific Pub Co Pte Ltd
- Publication date
- 30 April 2026
- Language
- EN