عنوان
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GENERALIZATIONS OF D11 AND D11 + MODULES
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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D11 module; D11 + module; δ–D11 module; δ–D11 + module
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چکیده
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Let M be a module. Then M is called a D11 module if any submodule of M has a supplement which is a direct summand of M. Also M is called D11 + if every direct summand of M is D11. In this paper we investigate generalizations of D11 and D11 + modules, namely δ–D11 and δ–D11 + modules. We will prove that any δ–D11 module M has a decomposition M = M1 ⊕ M2 with δ(M1) δ M1 and δ(M2) = M2.
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پژوهشگران
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بهنام طلایی (نفر دوم)، یحیی طالبی (نفر اول)
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