Exercises in Classical Ring Theory

" 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 possibl...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Lam, T. Y. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2003.
Έκδοση:Second Edition.
Σειρά:Problem Books in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03048nam a22005055i 4500
001 978-0-387-21771-0
003 DE-He213
005 20151204182449.0
007 cr nn 008mamaa
008 100301s2003 xxu| s |||| 0|eng d
020 |a 9780387217710  |9 978-0-387-21771-0 
024 7 |a 10.1007/b97448  |2 doi 
040 |d GrThAP 
050 4 |a QA251.3 
072 7 |a PBF  |2 bicssc 
072 7 |a MAT002010  |2 bisacsh 
082 0 4 |a 512.44  |2 23 
100 1 |a Lam, T. Y.  |e author. 
245 1 0 |a Exercises in Classical Ring Theory  |h [electronic resource] /  |c by T. Y. Lam. 
250 |a Second Edition. 
264 1 |a New York, NY :  |b Springer New York,  |c 2003. 
300 |a XX, 364 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Problem Books in Mathematics,  |x 0941-3502 
505 0 |a Wedderburn-Artin Theory -- Jacobson Radical Theory -- to Representation Theory -- Prime and Primitive Rings -- to Division Rings -- Ordered Structures in Rings -- Local Rings, Semilocal Rings, and Idempotents -- Perfect and Semiperfect Rings. 
520 |a " 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). 
650 0 |a Mathematics. 
650 0 |a Associative rings. 
650 0 |a Rings (Algebra). 
650 0 |a Commutative algebra. 
650 0 |a Commutative rings. 
650 1 4 |a Mathematics. 
650 2 4 |a Commutative Rings and Algebras. 
650 2 4 |a Associative Rings and Algebras. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9780387005003 
830 0 |a Problem Books in Mathematics,  |x 0941-3502 
856 4 0 |u http://dx.doi.org/10.1007/b97448  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-BAE 
950 |a Mathematics and Statistics (Springer-11649)