Characterization of Maximal Ideals
charactersizatio00carp.pdf (1.828Mb)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.
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