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On Homotopes of Novikov Algebras

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Abstract

Given a unital associative commutative ring Φ containing \(\frac{1}{2}\), we consider a homotope of a Novikov algebra, i.e., an algebra \(A_\varphi \) that is obtained from a Novikov algebra A by means of the derived operation \(x \cdot y = xy\varphi \) on the Φ-module A, where the mapping ϕ satisfies the equality \(xy\varphi = x(y\varphi )\). We find conditions for a homotope of a Novikov algebra to be again a Novikov algebra.

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References

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Authors and Affiliations

  1. Krasnoyarsk State Agrarian University, Russia

    V. A. Sereda

  2. Sobolev Institute of Mathematics, Russia

    V. T. Filippov

Authors
  1. V. A. Sereda
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  2. V. T. Filippov
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Sereda, V.A., Filippov, V.T. On Homotopes of Novikov Algebras. Siberian Mathematical Journal 43, 1–7 (2002). https://doi.org/10.1023/A:1013888924634

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  • DOI: https://doi.org/10.1023/A:1013888924634

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