On the embedding of left-symmetric algebras into differential Perm-algebras
Kolesnikov P.S. Sartayev B.K.
2022Taylor and Francis Ltd.
Communications in Algebra
2022#50Issue 83246 - 3260 pp.
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.
derivation , dialgebra , identity , Left-symmetric algebra , Novikov algebra
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Department of Algebra, Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
Department of Engineering and Natural Sciences, Suleyman Demirel University, Kaskelen, Kazakhstan
Department of Algebra
Department of Engineering and Natural Sciences
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