Geodesic
Isomorphisms of graded endomorphism rings of graded modules close to free ones
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 5, pp. 3-18

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We obtain criteria that answer the question when an isomorphism of graded endomorphism rings of strong gr-generators is induced by a gr-generator, graded Morita equivalence, or semi-linear isomorphism. 
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     title = {Isomorphisms of graded endomorphism rings of graded modules close to free ones},
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I. N. Balaba; A. V. Mikhalev. Isomorphisms of graded endomorphism rings of graded modules close to free ones. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 5, pp. 3-18. http://geodesic.mathdoc.fr/item/FPM_2007_13_5_a0/