Sinopsis
This book draws together four areas of mathematics - ring theory, group theory, group representation theory and algebraic number theory, examining their interplay. The main theme centres on two related problems: Problem A - given a ring R, determine the isomorphism class of the unit group [U]R of R in terms of natural invariants associated with R. Problem B - given a ring R, find an effective method for the construction of units of R. The study aims to convey a comprehensive picture of the current state of the subject. Examples have been included to help the research worker who needs to compute explicitly unit groups of certain rings. A familiarity with basic ring-theoretic and group-theoretic concepts is assumed, but a chapter on algebraic preliminaries is included.
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Reseña del editor
This book draws together four areas of mathematics - ring theory, group theory, group representation theory and algebraic number theory, examining their interplay. The main theme centres on two related problems: Problem A - given a ring R, determine the isomorphism class of the unit group [U]R of R in terms of natural invariants associated with R. Problem B - given a ring R, find an effective method for the construction of units of R. The study aims to convey a comprehensive picture of the current state of the subject. Examples have been included to help the research worker who needs to compute explicitly unit groups of certain rings. A familiarity with basic ring-theoretic and group-theoretic concepts is assumed, but a chapter on algebraic preliminaries is included.
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Resultados de la búsqueda para Unit Groups of Classical Rings
Imagen de archivo
Unit Groups of Classical Rings
Publicado por
Oxford Science Publications, 1988
ISBN 10: 0198535570
ISBN 13: 9780198535577
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Librería: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. Oxford Science Publications, 1988. top edge very barely soiled; binding tight; cover, edges, and interior intact and exceptionally clean; a nice copy. hardcover. Good. Nº de ref. del artículo: 594185
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