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- W69134064 abstract "Let A be a non-associative algebra of characteristic not two. It is known that the operator ad/sub x/ on A defined by ad/sub x/(y) = (x,y) is a derivation of A/sup +/ for all x if and only if A is flexible, and that A is Lie-admissible if and only if ad/sub x/ is a derivative of A/sup -/ for each x in A. Properties of a decomposition of A into subspaces invariant under ad/sub e/, e an idempotent element, are investigated. The very strong relations between the Peirce decomposition, the Lie-admissible condition and ad/sub e/, e an indempotent, are determined. Multiplicative relations among the subspaces of a are given." @default.
- W69134064 created "2016-06-24" @default.
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- W69134064 date "1982-08-01" @default.
- W69134064 modified "2023-09-26" @default.
- W69134064 title "Subspace decompositions invariant under ad/sub e/ for Lie-admissible algebras" @default.
- W69134064 hasPublicationYear "1982" @default.
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