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 215, Pages 52–57
DOI: https://doi.org/10.36535/0233-6723-2022-215-52-57 (Mi into1070) 		 
Doubling of cyclic algebras

V. M. Burlakova, M. P. Burlakovb

a Penza State University
b Moscow State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2022-215-52-57
Abstract: In this paper, we construct algebras generalizing the ring of complex quaternions and algebras of hypercomplex Clifford numbers. These algebras are obtained from the algebras of cyclic numbers by a modified doubling procedure. Also, we prove basic properties of these algebras, which are similar to the properties of quadratic hypercomplex numbers.
Keywords: linear algebras, quaternions, hypercomplex numbers, cyclic algebras, doubling procedure, compositional forms.
Document Type: Article
UDC: 512.6
MSC: 15A66, 15A69, 16S38
Language: Russian
Citation: V. M. Burlakov, M. P. Burlakov, “Doubling of cyclic algebras”, Algebra, Geometry, and Combinatorics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 215, VINITI, Moscow, 2022, 52–57
Citation in format AMSBIB
\Bibitem{BurBur22}
\by V.~M.~Burlakov, M.~P.~Burlakov
\paper Doubling of cyclic algebras
\inbook Algebra, Geometry, and Combinatorics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 215
\pages 52--57
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1070}
\crossref{https://doi.org/10.36535/0233-6723-2022-215-52-57}
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