Orderings of monomial ideals

DOI10.4064/fm181-1-2zbMath1049.06001arXivmath/0305384OpenAlexW2024982091MaRDI QIDQ4811326

Wai Yan Pong, Matthias Aschenbrenner

Publication date: 19 August 2004

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305384

zbMATH Keywords

invariantspolynomial ringmonomial idealsHilbert polynomialsHilbert-Samuel polynomialsreverse inclusionNoetherian ordered setgraded \(K\)-algebrasminimal order type

Mathematics Subject Classification ID

Partial orders, general (06A06) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (10)

Letterplace ideals and non-commutative Gröbner bases. ⋮ Ascending chains of ideals in the polynomial ring ⋮ Bachmann-Howard derivatives ⋮ Monomial ideals and independence of ⋮ Unnamed Item ⋮ Dickson's lemma, Higman's theorem and beyond: a survey of some basic results in order theory ⋮ A Computation of the Maximal Order Type of the Term Ordering on Finite Multisets ⋮ Well-partial-orderings and the big Veblen number ⋮ The theory of ordinal length ⋮ REVERSE MATHEMATICS, YOUNG DIAGRAMS, AND THE ASCENDING CHAIN CONDITION

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