Geodesic
On Orbits and Bi-invariant Subsets of Binary $G$-Spaces
Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 47-56

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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.
Keywords: binary operation, topological group, homeomorphism group, representation of a topological group. 
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     author = {P. S. Gevorgyan and A. A. Nazaryan},
     title = {On {Orbits} and {Bi-invariant} {Subsets} of {Binary} $G${-Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {47--56},
     publisher = {mathdoc},
     volume = {109},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_1_a4/}
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P. S. Gevorgyan; A. A. Nazaryan. On Orbits and Bi-invariant Subsets of Binary $G$-Spaces. Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 47-56. http://geodesic.mathdoc.fr/item/MZM_2021_109_1_a4/