The multivariate Serre conjecture ring

DOI10.1016/j.jalgebra.2023.10.032arXiv2207.01034OpenAlexW4388816388MaRDI QIDQ6142855

Ihsen Yengui, Luc Guyot

Publication date: 4 January 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.01034

zbMATH Keywords

valuation domainsGröbner ring conjectureirrational monomial orderleading terms idealrational monomial order

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Cites Work

• The Gröbner ring conjecture in one variable
• A course in constructive algebra
• A counterexample to the Gröbner ring conjecture
• Valuative dimension and monomial orders
• Constructive commutative algebra. Projective modules over polynomial rings and dynamical Gröbner bases
• Hidden constructions in abstract algebra. VI: The theorem of Maroscia and Brewer {\&} Costa
• The Gröbner ring conjecture in the lexicographic order case
• Toward a theory of monomial preorders
• Computational Algebra
• The trailing terms ideal
• Projective modules over some non-noetherian polynomial rings
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