GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JAS-3-1_003

تاریخ نمایه سازی: 30 آذر 1395

Abstract:

The generalized principal Ideal theorem is one of the cornerstones of the dimension theory for the Noetherian rings. For an R-module M, certain submodules of M that play a role analo-gous to that of prime ideals in the ring R are identi ed. Using this de nition, we extend the this theorem to modules.

Keywords:

Generalized Principal Ideal Theorem , Prime submodule , Completely prime submodule