Synopsis
The purpose of this book is to give a self-contained, up-to-date account of the structure of unit groups of classical rings. In so doing, the work draws together four areas of mathematics: ring theory, group theory, group representation theory, and algebraic number theory. The ensuing interplay between these disciplines provides a unique source of enrichment for each of them. The main theme centers on two related problems: to determine the isomorphism class of the unit group (U)R of ring R in terms of natural invariants associated with R; and to find an effective method for the construction of units of ring R. Various threads of the development are tied together to convey a comprehensive picture of the current state of the subject. Examples are provided to help research workers who need 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. The text is distinguished by its very clear exposition.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Unit Groups of Classical Rings
Stock Image
Unit Groups of Classical Rings
Published by
Oxford Science Publications, 1988
ISBN 10: 0198535570
ISBN 13: 9780198535577
Used
Hardcover
Seller: Munster & Company LLC, ABAA/ILAB, Corvallis, OR, U.S.A.
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # 594185