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Noncommutative Algebra [electronic resource] /
About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.
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| Format: | Texto biblioteca |
| Language: | eng |
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New York, NY : Springer New York : Imprint: Springer,
1993
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| Subjects: | Mathematics., Algebra., |
| Online Access: | http://dx.doi.org/10.1007/978-1-4612-0889-1 |
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KOHA-OAI-TEST:1947192018-07-30T23:20:09ZNoncommutative Algebra [electronic resource] / Farb, Benson. author. Dennis, R. Keith. author. SpringerLink (Online service) textNew York, NY : Springer New York : Imprint: Springer,1993.engAbout This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.I The Core Course -- 0 Background Material -- 1 Semisimple Modules & Rings and the Wedderburn Structure Theorem -- 2 The Jacobson Radical -- 3 Central Simple Algebras -- 4 The Brauer Group -- II Selected Topics -- 5 Primitive Rings and the Density Theorem -- 6 Burnside’s Theorem and Representations of Finite Groups -- 7 The Global Dimension of a Ring -- 8 The Brauer Group of a Commutative Ring -- III Supplementary Exercises -- References.About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.Mathematics.Algebra.Mathematics.Algebra.Springer eBookshttp://dx.doi.org/10.1007/978-1-4612-0889-1URN:ISBN:9781461208891 |
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México |
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cat-colpos |
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biblioteca |
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America del Norte |
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Departamento de documentación y biblioteca de COLPOS |
| language |
eng |
| topic |
Mathematics. Algebra. Mathematics. Algebra. Mathematics. Algebra. Mathematics. Algebra. |
| spellingShingle |
Mathematics. Algebra. Mathematics. Algebra. Mathematics. Algebra. Mathematics. Algebra. Farb, Benson. author. Dennis, R. Keith. author. SpringerLink (Online service) Noncommutative Algebra [electronic resource] / |
| description |
About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five. We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding. |
| format |
Texto |
| topic_facet |
Mathematics. Algebra. Mathematics. Algebra. |
| author |
Farb, Benson. author. Dennis, R. Keith. author. SpringerLink (Online service) |
| author_facet |
Farb, Benson. author. Dennis, R. Keith. author. SpringerLink (Online service) |
| author_sort |
Farb, Benson. author. |
| title |
Noncommutative Algebra [electronic resource] / |
| title_short |
Noncommutative Algebra [electronic resource] / |
| title_full |
Noncommutative Algebra [electronic resource] / |
| title_fullStr |
Noncommutative Algebra [electronic resource] / |
| title_full_unstemmed |
Noncommutative Algebra [electronic resource] / |
| title_sort |
noncommutative algebra [electronic resource] / |
| publisher |
New York, NY : Springer New York : Imprint: Springer, |
| publishDate |
1993 |
| url |
http://dx.doi.org/10.1007/978-1-4612-0889-1 |
| work_keys_str_mv |
AT farbbensonauthor noncommutativealgebraelectronicresource AT dennisrkeithauthor noncommutativealgebraelectronicresource AT springerlinkonlineservice noncommutativealgebraelectronicresource |
| _version_ |
1756266644128137216 |