Perspectives in Ring Theory

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Freddy Van Oystaeyen, Lieven le Bruyn
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 382 pages
This proceedings is composed of the papers resulting from the NATO work-shop "Perspectives in Ring Theory" and the work-shop "Geometry and Invariant The ory of Representations of Quivers" . Three reports on problem sessions have been induced in the part corresponding to the work-shop where they belonged. One more report on a problem session, the "lost" problem session, will be published elsewhere eventually. vii Acknowledgement The meeting became possible by the financial support of the Scientific Affairs Division of NATO. The people at this division have been very helpful in the orga nization of the meeting, in particular we commemorate Dr. Mario di Lullo, who died unexpectedly last year, but who has been very helpful with the organization of earlier meetings in Ring Theory. For additional financial support we thank the national foundation for scientific research (NFWO), the rector of the University of Antwerp, UIA, and the Belgian Ministry of Education. We also gladly acknowledge support from the Belgian Friends of the Hebrew University and the chairman Prof. P. Van Remoortere who honored Prof. S. Amitsur for his continuous contributions to the mathematical activities at the University of Antwerp. I thank the authors who contributed their paper(s) to this proceedings and the lecturers for their undisposable contributions towards the success of the work-shop. Finally I thank Danielle for allowing me to spoil another holiday period in favor of a congress.
 

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Contents

Le Bruyn A Schofield Rational Invariants of Quivers
21
Y Teranishi A Theorem on Invariants of Semisimple
37
Schaps compilation Report and Open Questions from a Workshop
59
S A Amitsur An Example in Central Division Algebras 85
93
Childs On Hopf Galois Extensions of Fields
117
T J Ford On the Brauer Group and the Cup Product Map 135
153
A Leroy J Matczuk On the GelfandKirillov Dimension
204
J Matczuk The GelfandKirillov Dimension
221
S Montgomery Progress on Some Problems about
269
J Okminski A Note on the P I Property
275
Liu Shaoxue F Van Oystaeyen Group Graded Rings Smash Products
299
H Tachikawa Reflexive AuslanderReiten Sequences
311
Y Teranishi Noncommutative Invariant Theory
321
Van den Bergh The BrauerSeveri Scheme of the Trace
332
F Van Oystaeyen Some Problems on Associative Rings
339
A R Wadsworth Dubrovin Valuation Rings
359

McConnell J C Robson The Nulstellensatz and Generic Flatness
227
McConnell J C Robson GelfandKirillov Dimension
233
Menini GabrielPopescu Type Theorems
239
Zacharia Special Monomial Algebras
375
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