On the leading terms ideals of polynomial ideals over a valuation ring
type: Item
instance of: scholarly article
title: On the leading terms ideals of polynomial ideals over a valuation ring
zbMATH Open document ID: 1242.13013
author: Samiha Monceur
author: Ihsen Yengui
published in: Journal of Algebra
publication date: 2012-06-18T00:00:00Z
Mathematics Subject Classification ID: 13C10
Mathematics Subject Classification ID: 19A13
Mathematics Subject Classification ID: 14Q20
Mathematics Subject Classification ID: 03F65
zbMATH DE Number: 6046982
zbMATH Keywords: Gröbner bases
zbMATH Keywords: Gröbner rings
zbMATH Keywords: Gröbner ring conjecture
zbMATH Keywords: valuation rings with zero-divisors
zbMATH Keywords: Krull dimension
zbMATH Keywords: Buchberger's algorithm
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2011.11.015
OpenAlex ID: W1994964419
cites work: Hidden constructions in abstract algebra. Krull Dimension of distributive lattices and commutative rings
cites work: Dynamical Gröbner bases over Dedekind rings
cites work: Krull dimension, Nullstellensätze and dynamical evaluation
cites work: Hidden constructions in abstract algebra. VI: The theorem of Maroscia and Brewer {\&} Costa
cites work: The Gröbner ring conjecture in one variable
cites work: Dynamical Gröbner bases
DOI: 10.1016/J.JALGEBRA.2011.11.015
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description: scientific article; zbMATH DE number 6046982