Valuations and filtrations

DOI10.1006/jsco.2002.0565zbMath1010.13018OpenAlexW2035469400MaRDI QIDQ1864894

Edward Mosteig, Moss Eisenberg Sweedler

Publication date: 23 March 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1f47337c7a888cd098984e0f02cbba7584d7a31d

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Valuations and their generalizations for commutative rings (13A18)

Related Items (7)

Buchberger-Weispfenning theory for effective associative rings ⋮ Value groups, residue fields, and bad places of rational function fields ⋮ Reversely well-ordered valuations on rational function fields in two variables ⋮ Toward a theory of monomial preorders ⋮ Value monoids of zero-dimensional valuations of rank 1 ⋮ Buchberger-Zacharias theory of multivariate Ore extensions ⋮ Why you cannot even hope to use Ore algebras in cryptography

Cites Work

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• On the theory of graded structures
• Ideal theory in Prüfer domains -- an unconventional approach

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