Notes on Divisible and Torsionfree Modules |
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| Authors: | Lixin Mao |
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| Institution: | Institute of Mathematics, Nanjing Institute of Technology , Nanjing, China |
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| Abstract: | In this article, we first study the existence of envelopes and covers by modules of finite divisible and torsionfree dimensions. Then we investigate divisible and torsionfree dimensions as well as localizations of divisible and torsionfree modules over commutative rings. Finally, Gorenstein divisible and torsionfree modules are introduced and studied. |
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| Keywords: | Divisible module Gorenstein divisible module Gorenstein torsionfree module Precover Preenvelope Torsionfree module |
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