GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

نویسنده

چکیده مقاله:

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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عنوان ژورنال

دوره 3  شماره 1

صفحات  23- 30

تاریخ انتشار 2015-06-01

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