On the solvability of graded novikov algebras
Umirbaev U. Zhelyabin V.
1 November 2021World Scientific
International Journal of Algebra and Computation
2021#31Issue 71405 - 1418 pp.
We show that the right ideal of a Novikov algebra generated by the square of a right nilpotent subalgebra is nilpotent. We also prove that a G-graded Novikov algebra N over a field K with solvable 0-component N0 is solvable, where G is a finite additive abelean group and the characteristic of K does not divide the order of the group G. We also show that any Novikov algebra N with a finite solvable group of automorphisms G is solvable if the algebra of invariants NG is solvable.
Automorphism , Graded algebra , Nilpotency , Novikov algebra , Solvability , The ring of invariants
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Department of Mathematics, Wayne State University, Detroit, 48202, MI, United States
Department of Mathematics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Mathematics of the SB of RAS, Novosibirsk, 630090, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics
Department of Mathematics
Institute of Mathematics of the SB of RAS
Institute of Mathematics and Mathematical Modeling
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