Geodesic
Doubling of cyclic algebras
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 215 (2022), pp. 52-57

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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, hypercomplex numbers, cyclic algebras, doubling procedure, compositional forms.
Mots-clés : quaternions 
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     author = {V. M. Burlakov and M. P. Burlakov},
     title = {Doubling of cyclic algebras},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {52--57},
     publisher = {mathdoc},
     volume = {215},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_215_a4/}
}
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V. M. Burlakov; M. P. Burlakov. Doubling of cyclic algebras. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 215 (2022), pp. 52-57. http://geodesic.mathdoc.fr/item/INTO_2022_215_a4/