Alina Iacob

Gorenstein Homological Algebra (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 232
• Erscheinungstermin: 6. August 2018
• Englisch
• ISBN-13: 9781351660259
• Artikelnr.: 59297141

Autorenporträt

Alina Iacob is a professor of mathematics at Georgia Southern University. Her primary research interests are homological and communicative algebra.

Inhaltsangabe

Introduction. Preliminaries. Gorenstein projective, Gorenstein injective
and Gorenstein flat modules. Gorenstein projective resolutions. Gorenstein
injective resolutions. Gorenstein flat precovers and preenvelopes.
Connections with Tate (co)homology, Tate-Betti and Tate-Bass numbers.
Applications to the category of complexes. Totally acyclic complexes.