The reduction ring property is hereditary

DOI10.1016/0021-8693(91)90166-6zbMath0732.13013OpenAlexW1974477234MaRDI QIDQ809150

Sabine Stifter

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90166-6

zbMATH Keywords

Gröbner basisreduction ring

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (4)

A general framework for Noetherian well ordered polynomial reductions ⋮ Standard Gröbner-Shirshov Bases of Free Algebras Over Rings, I ⋮ Mathematical Theory Exploration in Theorema: Reduction Rings ⋮ Gröbner bases in orders of algebraic number fields.

Cites Work

• Unnamed Item
• On the theory of graded structures
• New constructive methods in classical ideal theory
• A generalization of reduction rings
• Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen
• Comments on the translation of my PhD thesis: ``An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems

This page was built for publication: The reduction ring property is hereditary