Computational Linear and Commutative Algebra

• Main Authors: Kreuzer, Martin (Author), Robbiano, Lorenzo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Subjects: Mathematics.; Commutative algebra.; Commutative rings.; Matrix theory.; Algebra.; Commutative Rings and Algebras.; Linear and Multilinear Algebras, Matrix Theory.

This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. It integrates the Linear Algebra of the Third Millennium, developed...

Table of Contents:

• Foreword
• Introduction
• 1 Endomorphisms
• 2 Families of Commuting Endomorphisms
• 3 Special Families of Endomorphisms
• 4 Zero-Dimensional Affine Algebras
• 5 Computing Primary and Maximal Components
• 6 Solving Zero-Dimensional Polynomial Systems
• Notation
• References
• Index.