An approach to Hopf algebras via Frobenius coordinates.
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Kadison, Lars, Stolin, A.A. (2001)
Beiträge zur Algebra und Geometrie
A.V. Kelarev (1995)
Semigroup forum
Ottmar Loos (1972)
Manuscripta mathematica
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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