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Theorems · Inductive type · nonassociative algebras

LieAdmissibleRing

Type u_1 → Type u_1

A LieAdmissibleRing is a NonUnitalNonAssocRing such that the canonical bracket ⁅x, y⁆ := x * y - y * x turns it into a LieRing. This is expressed by an associator identity.

Defined in
Mathlib.Algebra.NonAssoc.LieAdmissible.Defs
Cited by
5 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms

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