WIN $150 GIFT VOUCHERS: ALADDIN'S GOLD

Close Notification

Your cart does not contain any items

Homological Methods in Commutative Algebra by Andrea Ferretti at Abbey's Bookshop,
Homological Methods in Commutative Algebra
— —
Andrea Ferretti

Homological Methods in Commutative Algebra

Andrea Ferretti

$272.95   $218.61

Paperback

Not in-store but you can order this
How long will it take?
English
American Mathematical Society
29 February 2024
Algebra; Algebraic geometry
Series: Graduate Studies in Mathematics
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.
By:  
Imprint:   American Mathematical Society
Country of Publication:   United States
Volume:   234
Weight:   349g
ISBN:   9781470474362
ISBN 10:   1470474360
Series:   Graduate Studies in Mathematics
Pages:   413
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

See Also

Homological Methods in Commutative Algebra

Berkeley Lectures on p-adic Geometry...

Peter Scholze

Paperback

$135 

Not in-store but you can order this

ADD +
Homological Methods in Commutative Algebra

Singularities, Bifurcations and...

James Montaldi (University of Manchester)...

Hardback

$132.95 

Not in-store but you can order this

ADD +
Homological Methods in Commutative Algebra

Iitaka Conjecture

An Introduction

Osamu Fujino

Paperback

$214.95  $171.90

Not in-store but you can order this

ADD +
Homological Methods in Commutative Algebra

A Course on Surgery Theory

Stanley Chang

Paperback

$135 

Not in-store but you can order this

ADD +
Homological Methods in Commutative Algebra

Integrable Systems and Algebraic...

Volume 2

Ron Donagi (University of Pennsylvania)...

Paperback

$74.95 

Not in-store but you can order this

ADD +
Homological Methods in Commutative Algebra

Noncommutative Algebraic Geometry...

Gwyn Bellamy (University of Glasgow)...

Paperback

$62.95 

Not in-store but you can order this

ADD +