On the solvability of graded Novikov algebras
Keyword(s):
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 [Formula: see text]-graded Novikov algebra [Formula: see text] over a field [Formula: see text] with solvable [Formula: see text]-component [Formula: see text] is solvable, where [Formula: see text] is a finite additive abelean group and the characteristic of [Formula: see text] does not divide the order of the group [Formula: see text]. We also show that any Novikov algebra [Formula: see text] with a finite solvable group of automorphisms [Formula: see text] is solvable if the algebra of invariants [Formula: see text] is solvable.
1990 ◽
Vol 107
(2)
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pp. 227-238
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2014 ◽
Vol 42
(11)
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pp. 4751-4756
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Keyword(s):
2017 ◽
Vol 16
(01)
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pp. 1750001
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Keyword(s):
2017 ◽
Vol 97
(2)
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pp. 215-217
2019 ◽
Vol 18
(04)
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pp. 1950074
Keyword(s):
2008 ◽
Vol 51
(3)
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pp. 779-783
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