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Computational commutative and non-commutative algebraic geometry / edited by Svetlana Cojocaru, Gerhard Pfister, Victor Ufnarovski.

By: Contributor(s): Material type: TextTextSeries: NATO science series. Series III, Computer and systems sciences ; ; v. 196.Publication details: Amsterdam ; Oxford : IOS Press, 2005.Description: 1 online resource (viii, 325 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 1429401974
  • 9781429401975
  • 1601290934
  • 9781601290939
  • 9781607501121
  • 1607501120
  • 9781586035051
  • 1586035053
Subject(s): Genre/Form: Additional physical formats: Print version:: Computational commutative and non-commutative algebraic geometry.DDC classification:
  • 516.35 22
LOC classification:
  • QA564 .N38 2005eb
Online resources:
Contents:
Title page; Preface; Contents; Noncommutative Algebraic Geometry and Algebra; The Structure of Simp<infty (A) for Finitely Generated k-algebras A1; On Preimages of Ideals in Certain Non-commutative Algebras; Commutative Algebraic Geometry and Algebra; Maximal Cohen-Macaulay Modules and Stable Vector Bundles; On the Contact with the Polar; On Some Generalization of Schubert's Varieties; Lifting an Ideal from a Tight Bourbaki Sequence and Maximal Cohen-Macaulay Modules; Some Applications of Resolution of Singularities from the Practical Point of View; Finite Free Resolutions.
Summary: This publication gives a good insight in the interplay between commutative and non-commutative algebraic geometry. The theoretical and computational aspects are the central theme in this study. The topic is looked at from different perspectives in over 20 lecture reports. It emphasizes the current trends in commutative and non-commutative algebraic geometry and algebra. The contributors to this publication present the most recent and state-of-the-art progresses which reflect the topic discussed in this publication. Both researchers and graduate students will find this book a good source of inf.
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"Proceedings of the NATO Advanced Research Workshop on Computational Commutative and Non-commutative Algebraic Geometry"--T.p. verso. - Published in conjunction with NATO Public Diplomacy Division

Includes bibliographical references and index.

Title page; Preface; Contents; Noncommutative Algebraic Geometry and Algebra; The Structure of Simp<infty (A) for Finitely Generated k-algebras A1; On Preimages of Ideals in Certain Non-commutative Algebras; Commutative Algebraic Geometry and Algebra; Maximal Cohen-Macaulay Modules and Stable Vector Bundles; On the Contact with the Polar; On Some Generalization of Schubert's Varieties; Lifting an Ideal from a Tight Bourbaki Sequence and Maximal Cohen-Macaulay Modules; Some Applications of Resolution of Singularities from the Practical Point of View; Finite Free Resolutions.

This publication gives a good insight in the interplay between commutative and non-commutative algebraic geometry. The theoretical and computational aspects are the central theme in this study. The topic is looked at from different perspectives in over 20 lecture reports. It emphasizes the current trends in commutative and non-commutative algebraic geometry and algebra. The contributors to this publication present the most recent and state-of-the-art progresses which reflect the topic discussed in this publication. Both researchers and graduate students will find this book a good source of inf.

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