Characterization of Maximal Ideals
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Authors
Carpenter, John Donald
Subjects
Advisors
Langford, Eric S.
Date of Issue
1968-09
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The characterization of maximal ideals has been accomplished
for the class of principal ideal rings and for the
class of continuous functions on a compact topological
space. In the latter case the characterization is somewhat
more extensive than it appears since a non-compact space
can often be compactified. Closely related to maximal
ideals are the prime ideals and the coincidence of these
two types of ideals is noted where occurring. When the
prime and maximal ideals are not the same in a ring, illustrative
examples are given.
Type
Thesis
Description
Series/Report No
Department
Mathematics
Organization
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Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.