BIBFRAME Work

Title

Computational Linear and Commutative Algebra

Type

  • Text
  • Monograph

Contribution

Subject

Language

Classification

Content

Summary

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 exclusively here, with classical algorithmic and algebraic techniques. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The material treated here is not available in book form, and much of it is not available at all. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations.

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.

Authorized Access Point

Kreuzer, Martin. Computational Linear and Commutative Algebra

Admin Metadata

  • Date: 2026-09-11T20:21:20.285767+00:00
  • Agent: cbc
  • Status: c
  • Derived from: 21771486

Admin Metadata

  • Date: 2026-09-11
  • Cataloger id: Unknown
  • Description level: http://id.loc.gov/ontologies/bibframe-2-6-0/
  • Description language: eng
  • Description authentication: pcc

Alternative Formats

Blue Core Actions

  • Load to Marva Marva loads Instances, not Works. Open one of this Work's Instances and load that into Marva instead.
  • Load to Sinopia
  • Export to Catalog Only Instances can be exported. Open one of this Work's Instances and export that instead.