Exercises in Classical Ring Theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
2003
|
Ausgabe: | Second Edition |
Schriftenreihe: | Problem Books in Mathematics
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | " This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses "the folklore of the subject: the 'tricks of the trade' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference". The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. " (T. W. Hungerford, Mathematical Reviews) |
Beschreibung: | 1 Online-Ressource (XX, 364 p) |
ISBN: | 9780387217710 9780387005003 |
ISSN: | 0941-3502 |
DOI: | 10.1007/b97448 |
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isbn | 9780387217710 9780387005003 |
issn | 0941-3502 |
language | English |
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spelling | Lam, T. Y. Verfasser aut Exercises in Classical Ring Theory by T. Y. Lam Second Edition New York, NY Springer New York 2003 1 Online-Ressource (XX, 364 p) txt rdacontent c rdamedia cr rdacarrier Problem Books in Mathematics 0941-3502 " This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses "the folklore of the subject: the 'tricks of the trade' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference". The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. " (T. W. Hungerford, Mathematical Reviews) Mathematics Algebra Commutative Rings and Algebras Associative Rings and Algebras Mathematik Ringtheorie (DE-588)4126571-3 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Ringtheorie (DE-588)4126571-3 s 2\p DE-604 https://doi.org/10.1007/b97448 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. Exercises in Classical Ring Theory Mathematics Algebra Commutative Rings and Algebras Associative Rings and Algebras Mathematik Ringtheorie (DE-588)4126571-3 gnd |
subject_GND | (DE-588)4126571-3 (DE-588)4143389-0 |
title | Exercises in Classical Ring Theory |
title_auth | Exercises in Classical Ring Theory |
title_exact_search | Exercises in Classical Ring Theory |
title_full | Exercises in Classical Ring Theory by T. Y. Lam |
title_fullStr | Exercises in Classical Ring Theory by T. Y. Lam |
title_full_unstemmed | Exercises in Classical Ring Theory by T. Y. Lam |
title_short | Exercises in Classical Ring Theory |
title_sort | exercises in classical ring theory |
topic | Mathematics Algebra Commutative Rings and Algebras Associative Rings and Algebras Mathematik Ringtheorie (DE-588)4126571-3 gnd |
topic_facet | Mathematics Algebra Commutative Rings and Algebras Associative Rings and Algebras Mathematik Ringtheorie Aufgabensammlung |
url | https://doi.org/10.1007/b97448 |
work_keys_str_mv | AT lamty exercisesinclassicalringtheory |