شماره ركورد كنفرانس
3728
عنوان مقاله
F. G. NOETHERIAN MODULES AND F. G. ARTINIAN MODULES
پديدآورندگان
MOGHADERI JAVAD Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran , MOTAMED SOMAYEH Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran
تعداد صفحه
8
كليدواژه
Artinian module , f.g. Artinian module , f.g. Noetherian module , Finitely generated submodule , Noetherian module
سال انتشار
1396
عنوان كنفرانس
اولين همايش ملي پژوهش هاي كاربردي نوين در علوم پايه
زبان مدرك
انگليسي
چكيده فارسي
In this paper, we introduced the notions f.g. Noetherian and f.g. Artinian modules. Also we _nd some characterizations of them. We show that an R-module M is f.g.Noetherian (Artinian) if and only if every nonempty subset of its _nitely generated submodules has a maximal (minimal) element. Also we show that for maximal idealsm1; :::;mn of R, if M is a _nitely generated R-module such that m1:::mnM = 0, then Mis f.g. Noetherian if and only if M is f.g. Artinian.
كشور
ايران
لينک به اين مدرک