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On Orbits and Bi-invariant Subsets of Binary \(G\)-Spaces

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Abstract

Orbits and bi-invariant subsets of binary \(G\)-spaces are studied. The problem of the distributivity of a binary action of a group \(G\) on a space \(X\), which was posed in 2016 by one of the authors, is solved.

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References

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Authors and Affiliations

  1. Moscow Pedagogical State University, 119882, Moscow, Russia

    P. S. Gevorgyan

  2. Yerevan State University, 375049, Yerevan, Armenia

    A. A. Nazaryan

Authors
  1. P. S. Gevorgyan
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  2. A. A. Nazaryan
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Correspondence to P. S. Gevorgyan.

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Gevorgyan, P.S., Nazaryan, A.A. On Orbits and Bi-invariant Subsets of Binary \(G\)-Spaces. Math Notes 109, 38–45 (2021). https://doi.org/10.1134/S0001434621010053

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  • DOI: https://doi.org/10.1134/S0001434621010053

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