Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 216, Pages 44–49
DOI: https://doi.org/10.36535/0233-6723-2022-216-44-49 (Mi into1079) 		 
Cyclic spaces

I. M. Burlakova, M. P. Burlakovb

a Tver State University
b Moscow State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2022-216-44-49
Abstract: We consider group algebras whose base groups are cyclic groups, prove a theorem on the multiplicativity of circulants for cyclic and anticyclic numbers, and describe geometric structures on linear spaces of cyclic and anticyclic algebras.
Keywords: group algebras, algebras of cyclic numbers, algebras of anticyclic numbers, spaces with fundamental form, cyclic rotations.
Document Type: Article
UDC: 512.6
MSC: 15А66, 15А69, 16S38
Language: Russian
Citation: I. M. Burlakov, M. P. Burlakov, “Cyclic spaces”, Algebra, geometry, differential equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 216, VINITI, Moscow, 2022, 44–49
Citation in format AMSBIB
\Bibitem{BurBur22}
\by I.~M.~Burlakov, M.~P.~Burlakov
\paper Cyclic spaces
\inbook Algebra, geometry, differential equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 216
\pages 44--49
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1079}
\crossref{https://doi.org/10.36535/0233-6723-2022-216-44-49}
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