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Gorenstein Homological Algebra

Alina Iacob
€210.80
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Acyclic Complex
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algebraic geometry
Author_Alina Iacob
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Category1=Non-Fiction
Category=PBF
Category=PBH
Category=PBM
Commutative Noetherian Rings
Complete Cotorsion Pair
Complete Hereditary Cotorsion Pair
COP=United Kingdom
Cotorsion Pair
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Direct Summand
eq_isMigrated=2
eq_nobargain
Exact Complex
Finite Flat Dimension
Finite Gorenstein Projective Dimension
Finite Projective Dimension
FP Injective Dimension
Gorenstein Flat
Gorenstein Flat Modules
Gorenstein homological algebra
Gorenstein Injective Modules
Gorenstein Projective
Gorenstein Projective Dimension
Gorenstein Projective Modules
Gorenstein Ring
injective and flat complexes
injective resolutions
Language_English
Left Coherent Ring
model category theory
Noetherian Ring
non-coherent rings
noncommutative algebra
PA=Available
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projective
projective modules
PS=Active
Pure Quotients
Pure Submodules
representation theory
Short Exact Sequence
softlaunch
tate cohomology
Triangulated Category

Product details

  • ISBN 9781138065499
  • Weight: 496g
  • Dimensions: 156 x 234mm
  • Publication Date: 10 Aug 2018
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
  • Language: English
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Description

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.
About Alina Iacob

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

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