An explicit representation of the generalized principal ideal theorem for the rational ground field
نویسندگان
چکیده
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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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1964
ISSN: 0040-8735
DOI: 10.2748/tmj/1178243703