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A Generalization of Semiperfect Modules

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Ukrainian Mathematical Journal Aims and scope

A module M is called radical semiperfect if \( \frac{M}{N} \) has a projective cover whenever Rad(M) ⊆ N ⊆ M. We study various properties of these modules. It is proved that every left R-module is radical semiperfect if and only if R is left perfect. Moreover, radical lifting modules are defined as a generalization of lifting modules.

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Authors and Affiliations

  1. Amasya University, Amasya, Turkey

    B. N. Türkmen

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  1. B. N. Türkmen
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 1, pp. 104–112, January, 2017.

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Türkmen, B.N. A Generalization of Semiperfect Modules. Ukr Math J 69, 126–137 (2017). https://doi.org/10.1007/s11253-017-1351-5

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  • DOI: https://doi.org/10.1007/s11253-017-1351-5

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