Representation Theory of Artin Algebras

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Cambridge University Press, Aug 21, 1997 - Mathematics - 425 pages
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This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is suitable for any mathematicians (especially graduate students) wanting an introduction to this active field.'...written in a clear comprehensive style with full proofs. It can very well serve as an excellent reference as well as a textbook for graduate students.' EMS Newletter
  

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Contents

II
1
III
6
IV
8
V
12
VI
16
VII
23
VIII
25
IX
26
XLIV
224
XLVI
232
XLVII
241
XLVIII
248
XLIX
253
L
256
LI
257
LII
258

X
32
XI
37
XII
39
XIII
43
XIV
45
XV
47
XVI
49
XVII
70
XVIII
79
XIX
83
XX
94
XXI
99
XXII
100
XXIII
111
XXIV
122
XXV
128
XXVI
133
XXVII
135
XXVIII
136
XXIX
147
XXX
153
XXXI
158
XXXII
166
XXXIII
173
XXXIV
178
XXXV
185
XXXVI
189
XXXVII
191
XXXVIII
197
XXXIX
200
XL
206
XLI
209
XLII
219
XLIII
221
LIII
269
LIV
272
LV
277
LVI
288
LVII
294
LVIII
302
LIX
309
LX
311
LXI
313
LXII
320
LXIII
323
LXIV
326
LXV
332
LXVI
333
LXVII
335
LXVIII
344
LXIX
352
LXX
362
LXXI
364
LXXII
365
LXXIII
370
LXXIV
379
LXXV
385
LXXVI
389
LXXVII
399
LXXVIII
405
LXXIX
406
LXXX
409
LXXXI
411
LXXXII
413
LXXXIII
421
LXXXIV
423
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CONJECTURES AND PROBLEMS FROM THE BOOK “REPRESENTATION THEORY OF ...
Reproduced from the book “Representation theory of artin algebras” of M. Auslander,. I. Reiten, and so Smalø with kind permission from the authors. ...
www2.math.uni-paderborn.de/ fileadmin/ Mathematik/ AG-Krause/ ps/ reiten.ps

Representation theory of Artin algebras , by Maurice Auslander ...
Representation theory of Artin algebras, by Maurice Auslander, Idun Reiten, and. Serre O. Smalø, Cambridge Stud. Adv. Math., vol. 36, Cambridge Univ. Press, ...
www.ams.org/ bull/ 1996-33-04/ S0273-0979-96-00683-0/ S0273-0979-96-00683-0.pdf

Representation Theory of Artin Algebras
This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. ...
www.mathematik.uni-bielefeld.de/ ~koenig/ cup-Auslander.html

THE EQUIVALENCE OF CERTAIN FUNCTORS OCCURRING IN THE ...
M. Auslander and I. Reiten," Representation theory of artin algebras III; almost split sequences ",. Comm. Algebra, 3 (1975), 239-294. ...
jlms.oxfordjournals.org/ cgi/ reprint/ s2-14/ 1/ 183.pdf

REPRESENTATION THEORY OF ARTIN ALGEBRAS (Cambridge Studies in ...
REPRESENTATION THEORY OF ARTIN ALGEBRAS (Cambridge Studies in Advanced Mathematics 36) By Maurice Auslander, Idun Reiten and Sverre O. Smalø: 423 pp.,£ ...
journals.cambridge.org/ abstract_S0024609396232448

[ISI Highly Cited Researchers Version 1.5]
Foundation of the Representation Theory of Artin Algebras, Using the Gabriel-Roiter Measure. (Survey and Examples). Proceedings of 36th Symposium on Ring ...
hcr3.isiknowledge.com/ formViewCharacteristic.cgi?table=Publication& link1=Biography& id=4863

Auslander-Reiten sequences and representation-finite algebras
AUSLANOER-REITEN SEOUENCES ANO REPRESENTATION-FINITE ALGEBRAS. Peter Gabriel. University. of. Zurich, Switzerland. The present ...
www.springerlink.com/ index/ 8136t88188140517.pdf

Auslander M., Reiten I., Smalo so Representation theory of Artin ...
Auslander M., Reiten I., Smalo so Representation theory of Artin algebras (CUP 1995)(L)(T)(216s)_mar_.djvu. Size 4.6Mb Date Jun 22, 2005 ...
www.eknigu.org/ info/ M_Mathematics/ MA_Algebra/ MAr_Representation%20theory/ Auslander%20M.,%20Reiten%20I.,%20Smalo%20S....

Auslander-Reiten Theory of Representation-Directed Artinian Rings
Auslander-Reiten Theory. of Representation-Directed. Artinian Rings. (Auslander-Reiten-Theorie von. darstellungsgerichteten artinschen Ringen)
www.math.ntnu.no/ ~opperman/ artinian.ps

Springer Online Reference Works
[a6], I. Reiten, "The use of almost split sequences in the representation theory of Artin algebras" M. Auslander (ed.) E. Lluis (ed. ...
eom.springer.de/ A/ a130220.htm

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