Automorphism liftable modules
Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 35-44.

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We introduce the notion of an automorphism liftable module and give a characterization to it. We prove that category equivalence preserves automorphism liftable. Furthermore, we characterize semisimple rings, perfect rings, hereditary rings and quasi-Frobenius rings by properties of automorphism liftable modules. Also, we study automorphism liftable modules with summand sum property (SSP) and summand intersection property (SIP).
DOI : 10.14712/1213-7243.2015.237
Classification : 16D40, 16L30, 16W20
Keywords: dual automorphism invariant module; supplemented module; semisimple ring; perfect ring; summand sum property
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Selvaraj, Chelliah; Santhakumar, Sudalaimuthu. Automorphism liftable modules. Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 35-44. doi : 10.14712/1213-7243.2015.237. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.237/

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