Covers and Envelopes in the Category of Complexes of Modules / Edition 1

Covers and Envelopes in the Category of Complexes of Modules / Edition 1

by J.R. Garcia Rozas, J. R. Garcia Rozas
     
 

ISBN-10: 158488004X

ISBN-13: 9781584880042

Pub. Date: 05/11/1999

Publisher: Taylor & Francis

Along with its value as a collection of recent work in the field, Cove rs and Envelopes in the Category of Complexes of Modules presents powe rful new ideas that will undoubtedly advance homological methods. Math ematicians-especially researchers in module theory and homological alg ebra-will welcome this volume as a reference guide and for its new and important

Overview

Along with its value as a collection of recent work in the field, Cove rs and Envelopes in the Category of Complexes of Modules presents powe rful new ideas that will undoubtedly advance homological methods. Math ematicians-especially researchers in module theory and homological alg ebra-will welcome this volume as a reference guide and for its new and important results.

Product Details

ISBN-13:
9781584880042
Publisher:
Taylor & Francis
Publication date:
05/11/1999
Series:
Chapman & Hall/CRC Research Notes in Mathematics Series, #407
Pages:
152
Product dimensions:
6.00(w) x 9.25(h) x 0.25(d)

Table of Contents

Covers and Envelopes in Categories
Zorn's Lemma for Categories
Torsion Theory Relative to Ext
Preserving and Reflecting Covers by Functors
Orthogonality in the Category of Complexes
Introduction
Spaltenstein's Quasi-Isomorphisms
Exact, DG-Injective and DG Projective Covers and Envelopes
Minimal Injective Resolutions
Gorenstein Injective and Gorenstein Projective Complexes
Preliminaries
Gorenstein Injective Complexes
Gorenstein Projective Complexes
Flat and DG-Flat Complexes
First Definitions and Results
Some Canonical Isomorphisms
Flat Covers of Complexes
Existence of Flat Covers of Complexes over a Commutative Noetherian Ring with Finite Krull Dimension
Pure Sequences of Complexes
Preliminaries
Flat Pre-Envelope of Complexes
Pure Injective and Cotorsion Envelopes
Gorenstein Flat Complexes
A Theorem on Perfect Rings
DG-Pure Sequences
Bibliography
Index

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