Is it possible for any algebra (for example commutative) to construct an associative enveloping algebra as we do for Lie algebras?

If so, can I get any reference?

  • 1
    $\begingroup$ There is an associative enveloping algebra for every non-associative algebra, see wikipedia, section 5.2. $\endgroup$ – Dietrich Burde Feb 11 at 16:00

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