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Isomorphisms of graded endomorphism rings of graded modules close to free ones

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Abstract

We obtain criteria that answer the question of 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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Authors and Affiliations

  1. L. Tolstoy Tula State Pedagogical University, Tula, Russia

    I. N. Balaba

  2. Moscow State University, Moscow, Russia

    A. V. Mikhalev

Authors
  1. I. N. Balaba
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  2. A. V. Mikhalev
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Correspondence to I. N. Balaba.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 5, pp. 3–18, 2007.

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Balaba, I.N., Mikhalev, A.V. Isomorphisms of graded endomorphism rings of graded modules close to free ones. J Math Sci 156, 209–218 (2009). https://doi.org/10.1007/s10958-008-9263-4

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  • DOI: https://doi.org/10.1007/s10958-008-9263-4

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