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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 4, Pages 830–844
DOI: https://doi.org/10.33048/smzh.2021.62.411 (Mi smj7599) 		 
Central isotopes of $(-1,1)$-algebras

S. V. Pchelintsevab

a Financial University under the Government of the Russian Federation, Moscow, Russia
b Moscow Center for Fundamental and Applied Mathematics of Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.411
Abstract: We prove that each $c$-isotope of a prime nonassociative $(-1,1)$-algebra is a $(-1,1)$-algebra if and only if the element $c$ lies in the commutative center. Every central $c$-isotope of a $(-1,1)$-monster is demonstrated to be isomorphic to the monster.
Keywords: isotope, central isotope, prime algebra, $(-1,1)$-algebra.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics
This research was supported by the grant “Structure Theory and Combinatorially Logical Methods in the Theory of Algebraic Systems” from the Moscow Center for Fundamental and Applied Mathematics of Lomonosov Moscow State University.
Received: 18.12.2020
Revised: 02.05.2021
Accepted: 11.06.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 4, Pages 678–690
DOI: https://doi.org/10.1134/S003744662104011X
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: S. V. Pchelintsev, “Central isotopes of $(-1,1)$-algebras”, Sibirsk. Mat. Zh., 62:4 (2021), 830–844; Siberian Math. J., 62:4 (2021), 678–690
Citation in format AMSBIB
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