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Representations, Products, and Varieties of \( m \)-Groups

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Abstract

Under study is the structure of the \( m \)-homomorphic images of \( m \)-subgroups in a Cartesian product of \( m \)-groups which admit a faithful \( m \)-transitive representation. We propose some construction that enables us to produce idempotents in the semigroup of varieties of \( m \)-groups.

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Authors and Affiliations

  1. Altai State University of Agriculture, Barnaul, Russia

    A. V. Zenkov

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  1. A. V. Zenkov
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Correspondence to A. V. Zenkov.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 4, pp. 860–865. https://doi.org/10.33048/smzh.2022.63.411

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Zenkov, A.V. Representations, Products, and Varieties of \( m \)-Groups. Sib Math J 63, 715–719 (2022). https://doi.org/10.1134/S0037446622040115

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  • DOI: https://doi.org/10.1134/S0037446622040115

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