عنوان
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On FI-mono-retractable modules
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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retractable module; FI-mono-retractable module; compressible module; fully invariant submodule
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چکیده
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We introduce the notion of FI-mono-retractable modules which is a generalization of compressible modules. We investigate the properties of such modules. It is shown that the rings over which every cyclic module is FI-monoretractable are simple Noetherian V -ring with zero socle or Artinian semisimple. The last section of the paper is devoted to the endomorphism rings of FI-retractable modules.
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پژوهشگران
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مرضیه آتشکار (نفر اول)، یحیی طالبی (نفر دوم)
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