Krull dimension and monomial orders

DOI10.1016/j.jalgebra.2013.10.005zbMath1305.13011arXiv1303.3937OpenAlexW2045324703MaRDI QIDQ397891

Gregor Kemper, Ngô Viêt Trung

Publication date: 12 August 2014

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

Full work available at URL: https://arxiv.org/abs/1303.3937

zbMATH Keywords

associated graded ringKrull dimensionmonomial orderanalytically independentindependent sequenceJacobson ringsubfinite algebraweight order

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (11)

Typical ranks for 3-tensors, nonsingular bilinear maps and determinantal ideals ⋮ The trailing terms ideal over a valuation domain ⋮ Valuative dimension and monomial orders ⋮ Asymptotic multiplicities of graded families of ideals and linear series ⋮ Multigraded algebras and multigraded linear series ⋮ Valuative dimension, constructive points of view ⋮ Toward a theory of monomial preorders ⋮ Homogeneous system of parameters in codimension 1 and analytic independence ⋮ The trailing terms ideal ⋮ Completing the classification of representations of \(SL_n\) with complete intersection invariant ring ⋮ Connectedness of square-free Groebner deformations

Uses Software

• Magma

Cites Work

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• On the Krull dimension of noetherian rings
• Maximum number of independent elements and dimension of prime divisors in completions of local rings
• Krull dimension, transcendence degree and subalgebras of finitely generated algebras
• The Magma algebra system. I: The user language
• Krull dimension, Nullstellensätze and dynamical evaluation
• Elementi indipendenti rispetto ad un ideale
• ON THE TENSOR PRODDUCT OF EXTENSIONS OF A FIELD
• A Short Proof for the Krull Dimension of a Polynomial Ring
• A Course in Commutative Algebra
• CONSTRUCTIVE KRULL DIMENSION I: INTEGRAL EXTENSIONS
• Hidden constructions in abstract algebra. Krull Dimension of distributive lattices and commutative rings

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