مشخصات پژوهش

عنوان	Fully invariant submodules for constructing dual Rickart modules and dual Baer modules
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Fully invariant submodule, dual Rickart module, F-dual Rickart module, F-dual Baer module
چکیده	Fully invariant submodules play an important designation in studying the structure of some known modules such as (dual) Rickart and (dual) Baer modules. In this work, we introduce F-dual Rickart (Baer) modules via the concept of fully invariant submodules. It is shown that M is F-dual Rickart if and only if M = F ⊕L such that F is a dual Rickart module. We prove that a module M is F-dual Baer if and only if M is F-dual Rickart and M has SSSP for direct summands of M contained in F. We present a characterization of right I-dual Baer rings where I is an ideal of R. Some counter-examples are provided to illustrate new concepts.
پژوهشگران	عدنان ترجان (نفر سوم)، علیرضا منیری حمزه کلایی (نفر دوم)، طیبه آموزگار (نفر اول)