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ISBN: 3540586628 Year: 1995 Publisher: Berlin Springer
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ISBN: 0511565917 Year: 1960 Publisher: Cambridge : Cambridge University Press,
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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. 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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ISBN: 0511565887 Year: 1973 Publisher: Cambridge : Cambridge University Press,
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Based on a series of lectures given at Sheffield during 1971-72, this text is designed to introduce the student to homological algebra avoiding the elaborate machinery usually associated with the subject. This book presents a number of important topics and develops the necessary tools to handle them on an ad hoc basis. The final chapter contains some previously unpublished material and will provide additional interest both for the keen student and his tutor. Some easily proven results and demonstrations are left as exercises for the reader and additional exercises are included to expand the main themes. Solutions are provided to all of these. A short bibliography provides references to other publications in which the reader may follow up the subjects treated in the book. Graduate students will find this an invaluable course text as will those undergraduates who come to this subject in their final year.
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Year: 1960 Publisher: Cambridge: Cambridge university press,
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Year: 1956 Publisher: Princeton: Princeton university press,
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Year: 1965 Publisher: Heidelberg: Springer,
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Year: 1968 Publisher: San Francisco (Calif.) : Holden-Day,
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Year: 1967 Publisher: Berlin : Springer,
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Year: 1967 Publisher: Berlin : Springer,
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Year: 1966 Publisher: Montréal : Presses de l'Université de Montréal,
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