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Dual automorphism-invariant modules over perfect rings

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Abstract

Under study are the dual automorphism-invariant modules and pseudoprojective modules. Some conditions were found under which the dual automorphism-invariant module over a perfect ring is quasiprojective. We also show that if R is a right perfect ring then a pseudoprojective right R-module M is finitely generated if and only if M is a Hopf module.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Kazan, Russia

    A. N. Abyzov

  2. Department of Mathematics, Danang University, Danang City, Vietnam

    T. C. Quynh

  3. Faculty of Mathematics, Vinh University, Vinh City, Vietnam

    D. D. Tai

Authors
  1. A. N. Abyzov
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  2. T. C. Quynh
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  3. D. D. Tai
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Correspondence to A. N. Abyzov.

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Original Russian Text Copyright © 2017 Abyzov A.N., Quynh T.C., and Tai D.D.

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 5, pp. 959–971, September–October, 2017; DOI: 10.17377/smzh.2017.58.501.

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Abyzov, A.N., Quynh, T.C. & Tai, D.D. Dual automorphism-invariant modules over perfect rings. Sib Math J 58, 743–751 (2017). https://doi.org/10.1134/S0037446617050019

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  • DOI: https://doi.org/10.1134/S0037446617050019

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