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New classes of finite commutative rings

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Item Summary

Title: New classes of finite commutative rings
Authors: Vo, Monika
Advisor: Craven, Thomas
Issue Date: 2003
Publisher: University of Hawaii at Manoa
Abstract: This dissertation introduces the concept of Q-Witt rings and SQ-Witt rings. A Q-Witt ring is defined as a finite quotient of a torsion free abstract Witt ring for an elementary 2-group G. Local Q-Witt rings are characterized using topological and ring theoretic tools. Q-Witt rings of the integral group ring Z[Z2] are classified and several properties are shown. An SQ-Witt ring is formed as a finite quotient of torsion free Witt rings of a formally real field. Recursive construction can be used to locate all SQ-Witt rings.
Description: Thesis (Ph. D.)--University of Hawaii at Manoa, 2003.
Includes bibliographical references (leaves 51-52).
Mode of access: World Wide Web.
Also available by subscription via World Wide Web
vi, 52 leaves, bound 29 cm
URI/DOI: http://hdl.handle.net/10125/3076
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Appears in Collections:Ph.D. - Mathematics
Ph.D. Dissertations- Mathematics Department



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