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On the embedding of left-symmetric algebras into differential Perm-algebras

Communications in Algebra, ISSN: 1532-4125, Vol: 50, Issue: 8, Page: 3246-3260
2022
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Given an associative algebra satisfying the left commutativity identity abc = bac (Perm-algebra) with a derivation d, the new operation (Formula presented.) is left-symmetric (pre-Lie). We derive necessary and sufficient conditions for a left-symmetric algebra to be embeddable into a differential Perm-algebra.

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