A First Course in Noncommutative Rings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1991
|
| Schriftenreihe: | Graduate Texts in Mathematics
131 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory. Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups). In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra |
| Beschreibung: | 1 Online-Ressource (XV, 397p) |
| ISBN: | 9781468404067 9781468404081 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4684-0406-7 |
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| discipline | Mathematik |
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| isbn | 9781468404067 9781468404081 |
| issn | 0072-5285 |
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| spelling | Lam, T. Y. Verfasser aut A First Course in Noncommutative Rings by T. Y. Lam New York, NY Springer US 1991 1 Online-Ressource (XV, 397p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 131 0072-5285 One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory. Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups). In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra Mathematics Algebra Mathematik Ringtheorie (DE-588)4126571-3 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 s 1\p DE-604 Ringtheorie (DE-588)4126571-3 s 2\p DE-604 https://doi.org/10.1007/978-1-4684-0406-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lam, T. Y. A First Course in Noncommutative Rings Mathematics Algebra Mathematik Ringtheorie (DE-588)4126571-3 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| subject_GND | (DE-588)4126571-3 (DE-588)4246997-1 |
| title | A First Course in Noncommutative Rings |
| title_auth | A First Course in Noncommutative Rings |
| title_exact_search | A First Course in Noncommutative Rings |
| title_full | A First Course in Noncommutative Rings by T. Y. Lam |
| title_fullStr | A First Course in Noncommutative Rings by T. Y. Lam |
| title_full_unstemmed | A First Course in Noncommutative Rings by T. Y. Lam |
| title_short | A First Course in Noncommutative Rings |
| title_sort | a first course in noncommutative rings |
| topic | Mathematics Algebra Mathematik Ringtheorie (DE-588)4126571-3 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd |
| topic_facet | Mathematics Algebra Mathematik Ringtheorie Nichtkommutativer Ring |
| url | https://doi.org/10.1007/978-1-4684-0406-7 |
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