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A370677
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a(n) is the dimension of the multilinear part of the free flexible Lie-admissible algebra with n generators.
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1
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OFFSET
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1,2
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COMMENTS
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The flexible identity is (x*y)*z + (z*y)*x = x*(y*z) + z*(y*x).
The Lie-admissible identity is (x*y)*z - x*(y*z) + z*(y*x) - (z*y)*x + y*(x*z) - (y*x)*z = (x*z)*y - x*(z*y) + y*(z*x) - (y*z)*x + z*(x*y) - (z*x)*y.
Flexible Lie-admissible algebras are algebras (possibly non-associative) satisfying those two identities.
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REFERENCES
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Hyo Chul Myung, Flexible Lie-Admissible algebras (Thesis (Ph.D.)-Michigan State University), ProQuest LLC, Ann Arbor, MI, 1971.
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LINKS
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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STATUS
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approved
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