Gorenstein Homological Algebra
Seiten
2018
CRC Press (Verlag)
978-1-138-06549-9 (ISBN)
CRC Press (Verlag)
978-1-138-06549-9 (ISBN)
This book is suitable for mathematicians, especially graduate students with an interest in homological algebra and its applications.
Gorenstein homological algebra is an important area of mathematics, with applications in commutative and noncommutative algebra, model category theory, representation theory, and algebraic geometry. While in classical homological algebra the existence of the projective, injective, and flat resolutions over arbitrary rings are well known, things are a little different when it comes to Gorenstein homological algebra. The main open problems in this area deal with the existence of the Gorenstein injective, Gorenstein projective, and Gorenstein flat resolutions. Gorenstein Homological Algebra is especially suitable for graduate students interested in homological algebra and its applications.
Gorenstein homological algebra is an important area of mathematics, with applications in commutative and noncommutative algebra, model category theory, representation theory, and algebraic geometry. While in classical homological algebra the existence of the projective, injective, and flat resolutions over arbitrary rings are well known, things are a little different when it comes to Gorenstein homological algebra. The main open problems in this area deal with the existence of the Gorenstein injective, Gorenstein projective, and Gorenstein flat resolutions. Gorenstein Homological Algebra is especially suitable for graduate students interested in homological algebra and its applications.
Alina Iacob is a professor of mathematics at Georgia Southern University. Her primary research interests are homological and communicative algebra.
Introduction. Preliminaries. Gorenstein projective, Gorenstein injective and Gorenstein flat modules. Gorenstein projective resolutions. Gorenstein injective resolutions. Gorenstein flat precovers and preenvelopes. Connections with Tate (co)homology, Tate-Betti and Tate-Bass numbers. Applications to the category of complexes. Totally acyclic complexes.
| Erscheinungsdatum | 18.09.2018 |
|---|---|
| Zusatzinfo | 55 Illustrations, black and white |
| Verlagsort | London |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 417 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-138-06549-8 / 1138065498 |
| ISBN-13 | 978-1-138-06549-9 / 9781138065499 |
| Zustand | Neuware |
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