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Gorenstein Homological Algebra

Research output: Book, anthology, or reportBookpeer-review

Abstract

Gorenstein homological algebra is an important area of mathematics, with applications in commutative and noncommutative algebra, model category theory, representation theory, and algebraic geometry. While in classical homological algebra the existence of the projective, injective, and flat resolutions over arbitrary rings are well known, things are a little different when it comes to Gorenstein homological algebra. The main open problems in this area deal with the existence of the Gorenstein injective, Gorenstein projective, and Gorenstein flat resolutions. Gorenstein Homological Algebra is especially suitable for graduate students interested in homological algebra and its applications.
Original languageAmerican English
PublisherRoutledge
Number of pages232
Edition1st
ISBN (Electronic)9781315159676
ISBN (Print)9781138065499
StatePublished - Aug 10 2018

Disciplines

  • Physical Sciences and Mathematics

Keywords

  • Algebra
  • Geometry
  • Number theory
  • Advanced Mathematics

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