instNonUnitalCommSemiring — Mathlib

English

The center viewed as a nonunital subsemiring coincides with the center of A's subsemiring.

Русский

Центр как подполнаремная структура совпадает с центром подполя A.

LaTeX

$$(center R A).toNonUnitalSubsemiring = NonUnitalSubsemiring.center A$$

Lean4

/-- The center of a non-unital algebra is commutative and associative -/
instance instNonUnitalCommSemiring : NonUnitalCommSemiring (center R A) :=
  NonUnitalSubsemiring.center.instNonUnitalCommSemiring _

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