generalized principal ideal theorem for modules
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abstract
the generalized principal ideal theorem is one of the cornerstones of dimension theory for noetherian rings. for an r-module m, we identify certain submodules of m that play a role analogous to that of prime ideals in the ring r. using this definition, we extend the generalized principal ideal theorem to modules.
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Journal title:
journal of algebraic systemsPublisher: shahrood university of technology
ISSN 2345-5128
volume 3
issue 1 2015
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