مشخصات پژوهش

عنوان	A new characterizations of commutative Artinian Rings
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Artinian rings_ good modules_ representable modules,_semi Hopfian and semi co-Hopfian modules.
چکیده	Let R be a commutative Noetherian ring. It is shown that R is Artinian if and only if every R-module is good, if and only if every R-module is representable. As a result, it follows that every nonzero submodule of any representable R-module is representable if and only if R is Artinian. This provides an answer to a question which is investigated in [1].
پژوهشگران	امیر مافی (نفر دوم)، کامران دیوانی آذر (نفر اول)