Associative Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1982
|
| Schriftenreihe: | Graduate Texts in Mathematics
88 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | For many people there is life after 40; for some mathematicians there is algebra after Galois theory. The objective of this book is to prove the latter thesis. It is written primarily for students who have assimilated substantial portions of a standard first year graduate algebra textbook, and who have enjoyed the experience. The material that is presented here should not be fatal if it is swallowed by persons who are not members of that group. The objects of our attention in this book are associative algebras, mostly the ones that are finite dimensional over a field. This subject is ideal for a textbook that will lead graduate students into a specialized field of research. The major theorems on associative algebras include some of the most splendid results of the great heros of algebra: Wedderbum, Artin, Noether, Hasse, Brauer, Albert, Jacobson, and many others. The process of refinement and clarification has brought the proof of the gems in this subject to a level that can be appreciated by students with only modest background. The subject is almost unique in the wide range of contacts that it makes with other parts of mathematics. The study of associative algebras contributes to and draws from such topics as group theory, commutative ring theory, field theory, algebraic number theory, algebraic geometry, homological algebra, and category theory. It even has some ties with parts of applied mathematics |
| Beschreibung: | 1 Online-Ressource (436p) |
| ISBN: | 9781475701630 9781475701654 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4757-0163-0 |
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Datensatz im Suchindex
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| ctrlnum | (OCoLC)864001782 (DE-599)BVBBV042421247 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-0163-0 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:08Z |
| institution | BVB |
| isbn | 9781475701630 9781475701654 |
| issn | 0072-5285 |
| language | English |
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| series2 | Graduate Texts in Mathematics |
| spelling | Pierce, Richard Scott 1927-1992 Verfasser (DE-588)1089191871 aut Associative Algebras by Richard S. Pierce New York, NY Springer New York 1982 1 Online-Ressource (436p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 88 0072-5285 For many people there is life after 40; for some mathematicians there is algebra after Galois theory. The objective of this book is to prove the latter thesis. It is written primarily for students who have assimilated substantial portions of a standard first year graduate algebra textbook, and who have enjoyed the experience. The material that is presented here should not be fatal if it is swallowed by persons who are not members of that group. The objects of our attention in this book are associative algebras, mostly the ones that are finite dimensional over a field. This subject is ideal for a textbook that will lead graduate students into a specialized field of research. The major theorems on associative algebras include some of the most splendid results of the great heros of algebra: Wedderbum, Artin, Noether, Hasse, Brauer, Albert, Jacobson, and many others. The process of refinement and clarification has brought the proof of the gems in this subject to a level that can be appreciated by students with only modest background. The subject is almost unique in the wide range of contacts that it makes with other parts of mathematics. The study of associative algebras contributes to and draws from such topics as group theory, commutative ring theory, field theory, algebraic number theory, algebraic geometry, homological algebra, and category theory. It even has some ties with parts of applied mathematics Mathematics Algebra Mathematik Assoziative Algebra (DE-588)4293934-3 gnd rswk-swf Assoziative Algebra (DE-588)4293934-3 s 1\p DE-604 Graduate Texts in Mathematics 88 (DE-604)BV035421258 88 https://doi.org/10.1007/978-1-4757-0163-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pierce, Richard Scott 1927-1992 Associative Algebras Graduate Texts in Mathematics Mathematics Algebra Mathematik Assoziative Algebra (DE-588)4293934-3 gnd |
| subject_GND | (DE-588)4293934-3 |
| title | Associative Algebras |
| title_auth | Associative Algebras |
| title_exact_search | Associative Algebras |
| title_full | Associative Algebras by Richard S. Pierce |
| title_fullStr | Associative Algebras by Richard S. Pierce |
| title_full_unstemmed | Associative Algebras by Richard S. Pierce |
| title_short | Associative Algebras |
| title_sort | associative algebras |
| topic | Mathematics Algebra Mathematik Assoziative Algebra (DE-588)4293934-3 gnd |
| topic_facet | Mathematics Algebra Mathematik Assoziative Algebra |
| url | https://doi.org/10.1007/978-1-4757-0163-0 |
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