New constructive methods in classical ideal theory

DOI10.1016/0021-8693(86)90071-2zbMath0621.13007OpenAlexW2171317148MaRDI QIDQ1090369

Ferdinando Mora, Hans-Michael Möller

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90071-2

zbMATH Keywords

algorithms Gröbner bases minimal resolution Hilbert function polynomial algebra

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to commutative algebra (13-04) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15)

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Cites Work