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Part of the book series: Mathematics and Its Applications ((MAIA,volume 303))

Abstract

Generalizations of theorems on simple Novikov algebras by E. I. Zel’manov and J. M. Osborn to a subvariety in the join of associative and Novikov are obtained.

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References

  1. A. A. Balinskii and S. P. Novikov, Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras, Dokl. Akad. Nauk SSSR 283 (1985), 1036–1039; English Transi. Soviet Math. Dokl. 32 (1985), 228–231.

    Google Scholar 

  2. I. M. Gelfand and I. Ya. Dorfman, Hamiltonian operators and related algebraic structures, Funktsional Anal. I. Prolozhen, 13 No. 4 (1979), 13–30; English Transi. Funct. Anal. and Appl. 13 (1979), 248–262.

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  3. E. Kleinfeld, On rings satisfying (x, y, z) = (y, x, z), Algebras Groups Geom., 4 (1987), 129–138.

    MathSciNet  MATH  Google Scholar 

  4. J. M. Osborn, Novikov algebras, Nova J. Algebra Geom., 1 (1992), 1–14.

    MathSciNet  MATH  Google Scholar 

  5. J. M. Osborn, Simple Novikov algebras with an idempotent, Comm. Algebra, 20 No. 9 (1992), 2729–2753.

    Article  MathSciNet  MATH  Google Scholar 

  6. J. M. Osborn and E. I. Zelmanov, Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations, to appear.

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  7. E. I. Zelmanov, On a class of local translation invariant Lie algebras, Soviet Math. Dokl. 35 (1987), 216–218; English Transi. Soviet Math. Dokl. 35 (1987), 216–218.

    Google Scholar 

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© 1994 Springer Science+Business Media Dordrecht

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Kleinfeld, E., Smith, H.F. (1994). A Generalization of Novikov Rings. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_36

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  • DOI: https://doi.org/10.1007/978-94-011-0990-1_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4429-5

  • Online ISBN: 978-94-011-0990-1

  • eBook Packages: Springer Book Archive

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