Characterization of Maximal Ideals.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1968
- Accession Number
- AD0847660
Entities
People
- John Donald Carpenter
Organizations
- Naval Postgraduate School