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Matematicheskie Zametki, 1996, Volume 59, Issue 4, Pages 551–557
DOI: https://doi.org/10.4213/mzm1749 (Mi mzm1749) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Homotopes of $(-1,1)$-algebras with two generators

M. E. Dedlovskaya

Moscow State Pedagogical University
Full-text PDF (141 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1749
Abstract: We present an example of a $(-1,1)$-algebra that has an isotope which is not an $(-1,1)$-algebra. We prove that the defining relation is preserved by the homotopes of 2-generated $(-1,1)$-algebras and, moreover, that the variety generated by a free $(-1,1)$-algebra of rank 2 is stable under the operation of taking a homotope.
Received: 22.09.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 4, Pages 395–399
DOI: https://doi.org/10.1007/BF02308688
Bibliographic databases:
UDC: 512.554.5
Language: Russian
Citation: M. E. Dedlovskaya, “Homotopes of $(-1,1)$-algebras with two generators”, Mat. Zametki, 59:4 (1996), 551–557; Math. Notes, 59:4 (1996), 395–399
Citation in format AMSBIB
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\by M.~E.~Dedlovskaya
\paper Homotopes of $(-1,1)$-algebras with two generators
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 4
\pages 551--557
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 4
\pages 395--399
\crossref{https://doi.org/10.1007/BF02308688}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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