Covers and Envelopes in the Category of Complexes of Modules

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J.R. Garcia Rozas (University of Almeria, Spain Universidad de Almeria, Spain Universidad de Almeria, Spain) Alan Jeffrey (University of Newcastle upon Tyne, UK)

Covers and Envelopes in the Category of Complexes of Modules

J.R. Garcia Rozas (University of Almeria, Spain Universidad de Almeria, Spain Universidad de Almeria, Spain), Alan Jeffrey (University of Newcastle upon Tyne, UK), Haim Brezis , Ronald G. Douglas (Texas A & M University)

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English

Chapman & Hall/CRC
11 May 1999

Complex analysis, complex variables; Algebraic topology; Applied mathematics

Series: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

A long 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.

By: J.R. Garcia Rozas (University of Almeria Spain Universidad de Almeria Spain Universidad de Almeria Spain)
Series edited by: Alan Jeffrey (University of Newcastle upon Tyne UK), Haim Brezis, Ronald G. Douglas (Texas A & M University)
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Volume: 407
Dimensions: Height: 229mm, Width: 152mm, Spine: 9mm
Weight: 272g
ISBN: 9781584880042
ISBN 10: 158488004X
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Pages: 152
Publication Date: 11 May 1999
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

J.R. Garcia Rozas (University of Almeria, Spain)