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Covers and Envelopes in the Category of Complexes of Modules : Research Notes in Mathematics Series - J.R.Garcia Rozas

Covers and Envelopes in the Category of Complexes of Modules

Research Notes in Mathematics Series

Paperback Published: 11th May 1999
ISBN: 9781584880042
Number Of Pages: 152

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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.

Covers and Envelopes in Categoriesp. 1
Orthogonality in the Category of Complexesp. 32
Gorenstein Injective and Projective Complexesp. 52
Flat and DG-Flat Complexesp. 81
Pure Sequences of Complexesp. 108
Bibliographyp. 133
Indexp. 135
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781584880042
ISBN-10: 158488004X
Series: Research Notes in Mathematics Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 152
Published: 11th May 1999
Publisher: CHAPMAN & HALL
Country of Publication: US
Dimensions (cm): 23.5 x 15.24  x 1.27
Weight (kg): 0.23
Edition Number: 1

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