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Sibirsk. Mat. Zh., 2021 Volume 62, Number 4, Pages 830–844 (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

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.

UDC: 512.554

Received: 18.12.2020
Revised: 02.05.2021
Accepted: 11.06.2021

DOI: 10.33048/smzh.2021.62.411


 English version:
Siberian Mathematical Journal, 2021, 62:4, 678–690

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© Steklov Math. Inst. of RAS, 2025