Gröbner and involutive bases for zero-dimensional ideals

Authors:
Pedro A. García-Sánchez
Affiliations:
Universidad de Granada, Departamento de Algebra
Venue:
ACM SIGSAM Bulletin
Year:
1995

Citing 3
Cited 0

Gro¨bner bases: a computational approach to commutative algebra

Gro¨bner bases: a computational approach to commutative algebra
A Gro¨bner approach to involutive bases

Journal of Symbolic Computation
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)

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Abstract

A new characterization of involutive systems is presented, which leads to a connection between Gröbner basis and involutive systems, and allows to construct, in an easy way, an involutive basis from a Gröbner basis.