Geodesic
Homotopes of $(-1,1)$-algebras with two generators
Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 551-557 
M. E. Dedlovskaya. Homotopes of $(-1,1)$-algebras with two generators. Matematičeskie zametki, Tome 59 (1996) no. 4, pp. 551-557. http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a6/
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     author = {M. E. Dedlovskaya},
     title = {Homotopes of $(-1,1)$-algebras with two generators},
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     year = {1996},
     volume = {59},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_4_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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