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Automorphism liftable modules

Chelliah Selvaraj, Sudalaimuthu Santhakumar (2018)

Commentationes Mathematicae Universitatis Carolinae

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).

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