مشخصات پژوهش

عنوان	A new approach to multiplication modules via (delta)-small submodules
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Small submodule, multiplication module, small multiplication module, δ-small submodule, δ-small multiplication module.
چکیده	Let R be a commutative ring and M an R-module. In this work we introduce two new generalizations of multiplication modules via δ-small submodules and small submodules of a fixed module. A module M is said to be (δ-)small multiplication provided for every (δ-)small submodule N of M, there is an ideal I of R such that N = IM. We study some general properties of both δ-small multiplication modules and also small multiplication modules. A counterexample is presented to state the fact that the class of all δ-small multiplication modules lies exactly between the class of multiplication modules and small multiplication modules. We show that any direct summand of a (δ-)small multiplication module inherits the property.
پژوهشگران	علیرضا منیری حمزه کلایی (نفر سوم)، مطهره ایرانی (نفر اول)، یحیی طالبی (نفر دوم)