| Covers and Envelopes in the Category of Complexes of Modules Contributor(s): Garcia Rozas, J. R. (Author) |
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ISBN: 158488004X ISBN-13: 9781584880042 Publisher: Routledge OUR PRICE: $209.00 Product Type: Paperback - Other Formats Published: May 1999 Annotation: This volume presents a unique account of some recent developments in the theory of covers and envelopes in categories of complexes of modules. The author treats the subject using elementary tools, with the intent of making the field more accessible. He places particular emphasis in DG-injective and DG-projective complexes and fiat and DG-Flat covers. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General |
| Dewey: 514.223 |
| LCCN: 99028226 |
| Series: Chapman & Hall/CRC Research Notes in Mathematics (Hardcover) |
| Physical Information: 0.37" H x 6.07" W x 9.26" (0.5 lbs) 152 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |