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A01=Andrea Ferretti
A38=Todd Henry
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Age Group_Uncategorized
Author_Andrea Ferretti
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Category1=Non-Fiction
Category=KJM
Category=KJMB
Category=VSPT
COP=United States
Delivery_Delivery within 10-20 working days
Language_English
PA=In stock
Price_€20 to €50
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Herding Tigers

English

By (author): Andrea Ferretti

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. See more
Current price €27.19
Original price €31.99
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A01=Andrea FerrettiA38=Todd HenryAge Group_UncategorizedAuthor_Andrea Ferrettiautomatic-updateCategory1=Non-FictionCategory=KJMCategory=KJMBCategory=VSPTCOP=United StatesDelivery_Delivery within 10-20 working daysLanguage_EnglishPA=In stockPrice_€20 to €50PS=Activesoftlaunch
Delivery/Collection within 10-20 working days
Product Details
  • Dimensions: 162 x 235mm
  • Publication Date: 16 Jan 2018
  • Publisher: Prentice Hall Press
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9780735211711

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