n-C-Star Modules and n-C-Tilting Modules |
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Authors: | Yanling Sun Jiaqun Wei |
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Institution: | 1. Department of Mathematics , Nanjing Normal University , Nanjing , China cabbage0930@163.com;3. Department of Mathematics , Nanjing Normal University , Nanjing , China |
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Abstract: | Let C be a faithfully balanced selforthogonal module over an Artin algebra R. We introduce the notion of n-C-star modules, which is a common generalization of n-star modules and n-C-tilting modules. We extend some characterizations of n-star modules to this context and prove that n-C-tilting modules are precisely n-C-star modules n-C-presenting all the injectives. |
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Keywords: | n-Star modules n-Tilting modules |
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