New classes of finite commutative rings

Date
2003
Authors
Vo, Monika
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Craven, Thomas
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Mathematics
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University of Hawaii at Manoa
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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.
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Thesis (Ph. D.)--University of Hawaii at Manoa, 2003.
Includes bibliographical references (leaves 51-52).
Mode of access: World Wide Web.
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vi, 52 leaves, bound 29 cm
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Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics; no. 4321
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