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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
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.
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.
E. Kleinfeld, On rings satisfying (x, y, z) = (y, x, z), Algebras Groups Geom., 4 (1987), 129–138.
J. M. Osborn, Novikov algebras, Nova J. Algebra Geom., 1 (1992), 1–14.
J. M. Osborn, Simple Novikov algebras with an idempotent, Comm. Algebra, 20 No. 9 (1992), 2729–2753.
J. M. Osborn and E. I. Zelmanov, Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations, to appear.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
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
Download citation
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