Synopsis
"Highly recommended" by the Bulletin of the London Mathematical Society, this comprehensive, self-contained treatment of group rings was written by an authority on the subject. Suitable for graduate students, it was hailed by the Bulletin of the American Mathematical Society as "a majestic account… encyclopedic and lucid."
The three-part survey begins with an introduction that defines the trace map, considers the augmentation ideal in considerable detail, and provides all the necessary group ring results for later characterizations of dimension subgroups. A second section on linear identities characterizes prime and semiprime group rings, brings semisimplicity considerations into play, and offers construction techniques for obtaining primitive group rings. The final part, an exploration of finiteness properties, consists chiefly of a study of Noetherian group rings. Hundreds of exercises of varying difficulty appear throughout the text.
The three-part survey begins with an introduction that defines the trace map, considers the augmentation ideal in considerable detail, and provides all the necessary group ring results for later characterizations of dimension subgroups. A second section on linear identities characterizes prime and semiprime group rings, brings semisimplicity considerations into play, and offers construction techniques for obtaining primitive group rings. The final part, an exploration of finiteness properties, consists chiefly of a study of Noetherian group rings. Hundreds of exercises of varying difficulty appear throughout the text.
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About the Author
Donald S. Passman is Professor of Mathematics at the University of Wisconsin-Madison.
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The Algebraic Structure of Group Rings
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Wiley & Sons, Incorporated, John, 1977
ISBN 10: 0471022721
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The algebraic structure of group rings (Pure and applied mathematics)
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The algebraic structure of group rings Donald S. Passman. Pure and applied mathematics Wiley.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 16 PAS 9780471022725 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2502491
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The algebraic structure of group rings Donald S. Passman. Pure and applied mathematics Wiley.
Published by
New York London , J Wiley, 1977
ISBN 10: 0471022721
ISBN 13: 9780471022725
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Seller: Antiquariat Bookfarm, Löbnitz, Germany
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 16 PAS 9780471022725 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2499420
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