A ring with FT-rank two |
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| Authors: | Be’eri Greenfeld |
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| Institution: | 1. Department of Mathematics, Bar Ilan University, Ramat Gan, Israelbeeri.greenfeld@gmail.com |
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| Abstract: | We construct a ring which admits a 2-generated, faithful torsion module but lacks a cyclic faithful torsion module. This answers a question by Oman and Schwiebert 1 Oman, G., Schwiebert, R. (2012). Rings which admit faithful torsion modules. Commun. Algebra 40(6):2184–2198.Taylor & Francis Online], Web of Science ®] , Google Scholar], 2 Oman, G., Schwiebert, R. (2012). Rings which admit faithful torsion modules II. J. Algebra Appl. 11(3):1250054 (12 p.).Crossref], Web of Science ®] , Google Scholar]]. |
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| Keywords: | Faithful module FT-rank torsion module |
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