Autor:	Ihsen Yengui
Rok vydání:	2021
Předmět:	Combinatorics Ring (mathematics) Algebra and Number Theory Conjecture Mathematics::Commutative Algebra Domain (ring theory) Krull dimension Ideal (ring theory) Monomial order Valuation (algebra) Counterexample Mathematics
Zdroj:	Journal of Algebra. 586:526-536
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2021.07.009
Popis:	We propose a counterexample to the Grobner ring conjecture in the irrational case. More precisely, we construct a valuation domain V of Krull dimension 1 and a finitely generated ideal J of V [ X , Y ] equipped with some irrational monomial order LT ( J ) generated by the leading terms of the elements of J is not finitely generated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::91b436a8399885cd831a5742624e07c6 https://doi.org/10.1016/j.jalgebra.2021.07.009 Zobrazit plný text záznamu Full Text from ScienceDirect