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Fundamentalnaya i Prikladnaya Matematika, 2021, Volume 23, Issue 4, Pages 3–16 (Mi fpm1906)  
This article is cited in 1 scientific paper (total in 1 paper)

One-sided isotopes of finite-dimensional algebras

L. R. Borisovaa, V. I. Glizburgb, S. V. Pchelintseva

a Financial University under the Government of the Russian Federation, Moscow, Russia
b Moscow City Pedagogical University, Moscow, Russia
Full-text PDF (172 kB) Citations (1) English version article
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Abstract: It is shown that the right isotopes of finite-dimensional $(-1,1)$-algebras cannot be reduced to left isotopes. It is proved that no unital isotope of the Mikheev algebra is a left alternative algebra. In particular, the opposite algebra, generally speaking, is not an isotope of the original algebra.
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 4, Pages 443–452
DOI: https://doi.org/10.1007/s10958-023-06291-7
Document Type: Article
UDC: 512.554
Language: Russian
Citation: L. R. Borisova, V. I. Glizburg, S. V. Pchelintsev, “One-sided isotopes of finite-dimensional algebras”, Fundam. Prikl. Mat., 23:4 (2021), 3–16; J. Math. Sci., 269:4 (2023), 443–452
Citation in format AMSBIB
\Bibitem{BorGliPch21}
\by L.~R.~Borisova, V.~I.~Glizburg, S.~V.~Pchelintsev
\paper One-sided isotopes of finite-dimensional algebras
\jour Fundam. Prikl. Mat.
\yr 2021
\vol 23
\issue 4
\pages 3--16
\mathnet{http://mi.mathnet.ru/fpm1906}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 4
\pages 443--452
\crossref{https://doi.org/10.1007/s10958-023-06291-7}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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