An Introduction to Homological Algebra

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9780521097932: An Introduction to Homological Algebra

Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ring theory. Professor Northcott's aim is to introduce homological ideas and methods and to show some of the results which can be achieved. The early chapters provide the results needed to establish the theory of derived functors and to introduce torsion and extension functors. The new concepts are then applied to the theory of global dimensions, in an elucidation of the structure of commutative Noetherian rings of finite global dimension and in an account of the homology and cohomology theories of monoids and groups. A final section is devoted to comments on the various chapters, supplementary notes and suggestions for further reading. This book is designed with the needs and problems of the beginner in mind, providing a helpful and lucid account for those about to begin research, but will also be a useful work of reference for specialists. It can also be used as a textbook for an advanced course.

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Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ring theory. Professor Northcott's aim is to introduce homological ideas and methods and to show some of the results which can be achieved.

Contenuti:

Preface; 1. Generalities concerning modules; 2. Tensor products and groups of homomorphisms; 3. Categories and functors; 4. Homology functors; 5. Projective and injective modules; 6. Derived functors; 7. Torsion and extension functors; 8. Some useful identities; 9. Commutative Noetherian rings of finite global dimension; 10. Homology and cohomology theories of groups and moniods; Notes; References; Index.

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D. G. Northcott
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2009)
ISBN 10: 0521097932 ISBN 13: 9780521097932
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2009. Paperback. Condizione libro: New. Reissue. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ring theory. Professor Northcott s aim is to introduce homological ideas and methods and to show some of the results which can be achieved. The early chapters provide the results needed to establish the theory of derived functors and to introduce torsion and extension functors. The new concepts are then applied to the theory of global dimensions, in an elucidation of the structure of commutative Noetherian rings of finite global dimension and in an account of the homology and cohomology theories of monoids and groups. A final section is devoted to comments on the various chapters, supplementary notes and suggestions for further reading. This book is designed with the needs and problems of the beginner in mind, providing a helpful and lucid account for those about to begin research, but will also be a useful work of reference for specialists. It can also be used as a textbook for an advanced course. Codice libro della libreria AAV9780521097932

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Descrizione libro Cambridge University Press, 2009. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780521097932

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D. G. Northcott
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2009. Paperback. Condizione libro: New. Reissue. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ring theory. Professor Northcott s aim is to introduce homological ideas and methods and to show some of the results which can be achieved. The early chapters provide the results needed to establish the theory of derived functors and to introduce torsion and extension functors. The new concepts are then applied to the theory of global dimensions, in an elucidation of the structure of commutative Noetherian rings of finite global dimension and in an account of the homology and cohomology theories of monoids and groups. A final section is devoted to comments on the various chapters, supplementary notes and suggestions for further reading. This book is designed with the needs and problems of the beginner in mind, providing a helpful and lucid account for those about to begin research, but will also be a useful work of reference for specialists. It can also be used as a textbook for an advanced course. Codice libro della libreria AAV9780521097932

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Descrizione libro Cambridge University Press, 2009. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780521097932

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Descrizione libro Cambridge University Press, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780521097932_lsuk

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Descrizione libro Cambridge University Press, 2009. Paperback. Condizione libro: Brand New. 1st edition. 294 pages. 8.98x5.98x0.87 inches. In Stock. Codice libro della libreria __0521097932

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Descrizione libro 2009. Paperback. Condizione libro: NEW. 9780521097932 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0444722

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Descrizione libro Cambridge University Press 2009-01-08, 2009. Condizione libro: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-ING-00925690

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Descrizione libro Cambridge University Press, 2009. Paperback. Condizione libro: New. Codice libro della libreria INGM9780521097932

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Descrizione libro Cambridge University Press. Paperback. Condizione libro: New. Paperback. 300 pages. Dimensions: 8.9in. x 6.0in. x 0.9in.Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ring theory. Professor Northcotts aim is to introduce homological ideas and methods and to show some of the results which can be achieved. The early chapters provide the results needed to establish the theory of derived functors and to introduce torsion and extension functors. The new concepts are then applied to the theory of global dimensions, in an elucidation of the structure of commutative Noetherian rings of finite global dimension and in an account of the homology and cohomology theories of monoids and groups. A final section is devoted to comments on the various chapters, supplementary notes and suggestions for further reading. This book is designed with the needs and problems of the beginner in mind, providing a helpful and lucid account for those about to begin research, but will also be a useful work of reference for specialists. It can also be used as a textbook for an advanced course. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780521097932

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