SymmetricAlgebra — Mathlib

English

The symmetric algebra of an R-module M is constructed concretely as the quotient of the tensor algebra by the commutativity relation.

Русский

Симметрическая алгебра модуля M над R строится как тождество тензорной алгебры по отношению коммутативности.

LaTeX

$$abbrev SymmetricAlgebra := RingQuot (SymRel R M)$$

Lean4

/-- Concrete construction of the symmetric algebra of `M` by quotienting out
the tensor algebra by the commutativity relation. -/
abbrev SymmetricAlgebra :=
  RingQuot (SymRel R M)

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