Well quasi-orders, better quasi-orders, and monomial ideals
Abstract Besides a self-contained introduction into well quasi-orders and better quasi-orders, the focus is on how these concepts lead in a neat and quick way to some well-known facts regarding monomials and monomial ideals of a polynomial ring over a field. Not uninteresting connections emerge, such as a direct path to Dickson’s lemma for monomial ideals from Higman’s theorem for monoids of terms in the vein of Hilbert’s basis theorem in iterative form.
Authors
- Peter Schuster (ORCID: https://orcid.org/0000-0002-6831-2057)
- Gabriele Buriola (ORCID: https://orcid.org/0000-0002-1612-0985)
Institutions
- University of Verona (IT)
Publication Details
- Journal
- Bollettino dell Unione Matematica Italiana
- Published
- 2025-11-05
- DOI
- https://doi.org/10.1007/s40574-025-00518-y
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Università degli Studi di Verona
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni