Joseph E. Coker's Books

My Living Hell

By: Joseph E. Coker

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It's about a very ambitious man named John Martin that wants to get into the import-export business. He starts looking for investors to help him get the money he needs to get started, and he finds an investor that will help put him in business. But what John doesn't know is that his investor is the head of the biggest crime family in New York City. He wants to use John's business to bring drugs and guns in and out of the USA. But the deal goes wrong and he tries to kill John.

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Xlibris Corporation

Published Date

ISBN 10

1426971710

ISBN 13

9781426971716

An Introduction to Homological Algebra

By: Joseph J. Rotman

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An Introduction to Homological Algebra

By: Joseph J. Rotman

Graduate mathematics students will find this book an easy-to-follow, step-by-step guide to the subject. Rotman’s book gives a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this new edition the book has been updated and revised throughout and new material on sheaves and cup products has been added. The author has also included material about homotopical algebra, alias K-theory. Learning homological algebra is a two-stage affair. First, one must learn the language of Ext and Tor. Second, one must be able to compute these things with spectral sequences. Here is a work that combines the two.

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722

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387683240

ISBN 13

9780387683249

Foundations of Grothendieck Duality for Diagrams of Schemes

By: Joseph Lipman,Mitsuyasu Hashimoto

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Foundations of Grothendieck Duality for Diagrams of Schemes

By: Joseph Lipman,Mitsuyasu Hashimoto

The first part written by Joseph Lipman, accessible to mid-level graduate students, is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among the derived functors, for unbounded complexes over ringed spaces, of the sheaf functors tensor, hom, direct and inverse image. Included are enhancements, for quasi-compact quasi-separated schemes, of classical results such as the projection and Künneth isomorphisms. In the second part, written independently by Mitsuyasu Hashimoto, the theory is extended to the context of diagrams of schemes. This includes, as a special case, an equivariant theory for schemes with group actions. In particular, after various basic operations on sheaves such as (derived) direct images and inverse images are set up, Grothendieck duality and flat base change for diagrams of schemes are proved. Also, dualizing complexes are studied in this context. As an application to group actions, we generalize Watanabe's theorem on the Gorenstein property of invariant subrings.

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471

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540854193

ISBN 13

9783540854197

Advanced Modern Algebra

Third Edition, Part 2

By: Joseph J. Rotman

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Advanced Modern Algebra

Third Edition, Part 2

By: Joseph J. Rotman

This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.

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570

Publisher

American Mathematical Society

Published Date

ISBN 10

1470472759

ISBN 13

9781470472757

Book's by Joseph E. Coker

My Living Hell

My Living Hell

An Introduction to Homological Algebra

An Introduction to Homological Algebra

Foundations of Grothendieck Duality for Diagrams of Schemes

Foundations of Grothendieck Duality for Diagrams of Schemes

Advanced Modern Algebra

Advanced Modern Algebra

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