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 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. (Author)

Descriptors :   (*RINGS(MATHEMATICS), TOPOLOGY), ALGEBRA, SET THEORY, PRIME NUMBERS, OPTIMIZATION, THEOREMS, THESES.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE