Poincaré series of semigroups
Abstract
Many invariants of finitely generated positive cancelative commutative semigroups can be studied from their Poincaré series. We offer and present several closed formulas for them. Moreover, those formulas have elementary proofs and are presented in two distinct forms: one characterized in terms of simplicial complexes and the other by a purely set theoretical approach.
Fields of Study & Subjects
Fuzzy and Soft Set Theory
semigroups and automata theory
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 147–163
- Publication date
- 1 January 2026
- Language
- EN