Covers and Envelopes in the Category of Complexes of Modules
Regular price
€235.60
14 days return policy
Shipping & Delivery
A01=J.R. Garcia Rozas
advanced homological structures
Author_J.R. Garcia Rozas
Category=PBKD
Category=PBPD
Category=PBW
Commutative Diagram
Commutative Noetherian Ring
Complex Exact
Cotorsion Envelope
DG-injective methods
Direct Summand
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exact Sequence
Finite Flat Dimension
Finite Injective Dimension
Finite Krull Dimension
Finite Projective Dimension
Flat Complex
flat module covers
Flat Precover
Flat Preenvelope
Gorenstein complexes
Gorenstein Flat
Gorenstein Projective
Hereditary Torsion Theory
homological algebra
Injective Complex
Injective Cover
Minimal Injective Resolution
module theory
Projective Preenvelope
Pull Back Diagram
pure exact sequences
Pure Injective Envelope
Short Exact Sequence
Splitting Epimorphism
Torsion Theory
Product details
- ISBN 9781584880042
- Weight: 272g
- Dimensions: 152 x 229mm
- Publication Date: 11 May 1999
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
Over the last few years, the study of complexes has become increasingly important. To date, however, most of the research is scattered throughout the literature or available only as lecture notes. Covers and Envelopes in the Category of Complexes of Modules collects these scattered notes and results into a single, concise volume that provides an account of recent developments in the theory and presents several new and important ideas.
The author introduces the theory of complexes of modules using only elementary tools-making the field more accessible to non-specialists. He focuses the study on envelopes and covers in this category with respect to some well established and important classes of complexes. He places particular emphasis on DG-injective and DG-projective complexes and flat and DG-flat covers.
Other topics covered include Zorn's Lemma for categories, preserving and reflecting covers by functors, orthogonality in the category of complexes, Gorenstein injective and projective complexes, and pure sequences of complexes.
Along with its value as a collection of recent work in the field, Covers and Envelopes in the Category of Complexes of Modules presents powerful new ideas that will undoubtedly advance homological methods. Mathematicians-especially researchers in module theory and homological algebra-will welcome this volume as a reference guide and for its new and important results.
J.R. Garcia Rozas (University of Almeria, Spain)
