The concept of Gröbner algebras

DOI10.1016/S0747-7171(08)80056-9zbMath0726.16027MaRDI QIDQ802716

N. E. Zubov

Publication date: 1990

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

zbMATH Keywords

Gröbner basesNoetherian algebrasvaluations of algebras

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Valuations and their generalizations for commutative rings (13A18) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

An introduction to commutative and noncommutative Gröbner bases ⋮ Reduction of everywhere convergent power series with respect to Gröbner bases ⋮ Constructions of standard bases of right \(K\langle A\rangle\)- modules ⋮ Standard Gröbner-Shirshov Bases of Free Algebras Over Rings, I ⋮ On the structure of order domains ⋮ New codes for the Berlekamp-Massey-Sakata algorithm

Cites Work

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• On the theory of graded structures
• An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras
• On the Embedding of Rings in Skew Fields

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