Homological Methods In Commutative Algebra
Download Homological Methods In Commutative Algebra full books in PDF, epub, and Kindle. Read online free Homological Methods In Commutative Algebra ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Homological Methods in Commutative Algebra
Author | : Andrea Ferretti |
Publisher | : American Mathematical Society |
Total Pages | : 432 |
Release | : 2023-12-05 |
Genre | : Mathematics |
ISBN | : 1470474360 |
Download Homological Methods in Commutative Algebra Book in PDF, Epub and Kindle
This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic commutative algebra, for example, as covered in the author's book, Commutative Algebra. The first part of the book is an elementary but thorough exposition of the concepts of homological algebra, starting from categorical language up to the construction of derived functors and spectral sequences. A full proof of the celebrated Freyd-Mitchell theorem on the embeddings of small Abelian categories is included. The second part of the book is devoted to the application of these techniques in commutative algebra through the study of projective, injective, and flat modules, the construction of explicit resolutions via the Koszul complex, and the properties of regular sequences. The theory is then used to understand the properties of regular rings, Cohen-Macaulay rings and modules, Gorenstein rings and complete intersections. Overall, this book is a valuable resource for anyone interested in learning about homological algebra and its applications in commutative algebra. The clear and thorough presentation of the material, along with the many examples and exercises of varying difficulty, make it an excellent choice for self-study or as a reference for researchers.
Homological Methods in Commutative Algebra Related Books
Pages: 432
Pages: 152
Pages: 216
Pages: 12
Pages: 142