Covers and Envelopes in the Category of Complexes of Modules is popular PDF and ePub book, written by J.R. Garcia Rozas in 2022-01-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Covers and Envelopes in the Category of Complexes of Modules can be Read Online from any device for your convenience.
Covers and Envelopes in the Category of Complexes of Modules Book PDF Summary
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.
Detail Book of Covers and Envelopes in the Category of Complexes of Modules PDF
- Author : J.R. Garcia Rozas
- Release : 27 January 2022
- Publisher : Routledge
- ISBN : 9781351457613
- Genre : Mathematics
- Total Page : 152 pages
- Language : English
- PDF File Size : 9,5 Mb
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