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Catalogue Information
Field name	Details
Dewey Class	512.44
Title	Computational Linear and Commutative Algebra ([EBook]) / by Martin Kreuzer, Lorenzo Robbiano.
Author	Kreuzer, Martin
Added Personal Name	Robbiano, Lorenzo author.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	XVIII, 321 p. 1 illus. : online resource.
ISBN	9783319436012
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-43601-2
Links to Related Works	Subject References: Algebra . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Linear and Multilinear Algebras, Matrix Theory . Mathematics . Matrix theory . Authors: Kreuzer, Martin . Robbiano, Lorenzo . Corporate Authors: SpringerLink (Online service) . Classification: 512.44 .

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Computational Linear and Commutative Algebra

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