Advances in Ring Theory

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles ar

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Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference. Proposals for volumes can be sent to the Mathematics Editor at either Birkhäuser / Springer Basel AG P.O. Box 133 CH-4010 Basel Switzerland or Birkhauser Boston 233 Spring Street New York, NY 10013 USA

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Advances in Ring Theory Dinh Van Huynh Sergio R. López-Permouth Editors

Birkhäuser

Editors: Dinh Van Huynh Sergio R. López-Permouth Department of Mathematics Ohio University 321 Morton Hall Athens, OH 45701 USA e-mail: [email protected] [email protected]

2000 Mathematics Subject Classification 06, 11-17, 22 Library of Congress Control Number: 2010921344 Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de

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Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .