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.
منابع مشابه
generalized principal ideal theorem for modules
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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