
Accession Number : AD0847660
Title : Characterization of Maximal Ideals.
Descriptive Note : Master's thesis,
Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA
Personal Author(s) : Carpenter, John Donald
Report Date : SEP 1968
Pagination or Media Count : 41
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 noncompact 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. (Author)
Descriptors : (*RINGS(MATHEMATICS), TOPOLOGY), ALGEBRA, SET THEORY, PRIME NUMBERS, OPTIMIZATION, THEOREMS, THESES.
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE