On dual of square free modules |
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| Authors: | Derya Keskin Tütüncü Isao Kikumasa Yoshiharu Shibata |
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| Institution: | 1. Department of Mathematics, Hacettepe University, Ankara, Turkey;2. Department of Mathematics, Faculty of Science, Yamaguchi University, Yamaguchi, Japan;3. Graduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi, Japan |
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| Abstract: | A module M is said to be square free if whenever its submodule is isomorphic to N2 = N⊕N for some module N, then N = 0. Dually, a module M is said to be d-square free (dual square free) if whenever its factor module is isomorphic to N2 for some module N, then N = 0. In this paper, we give some fundamental properties of d-square free modules and study rings whose d-square free modules are closed under submodules or essential extensions. |
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| Keywords: | Dual square free module H-supplemented module perfect ring |
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