instAdditiveModuleCatFunctorEqv — Mathlib

English

Transitivity of Morita equivalence: if A is Morita equivalent to B and B to C, then A is Morita equivalent to C.

Русский

Транзитивность эквивалентности Моратa: если A эквивалентна Morita B и B Morita C, то A Morita C.

LaTeX

$$MoritaEquivalence.R A B C: MoritaEquivalence R A B → MoritaEquivalence R B C → MoritaEquivalence R A C$$

Lean4

instance {A : Type u₁} [Ring A] [Algebra R A] {B : Type u₂} [Ring B] [Algebra R B] (e : MoritaEquivalence R A B) :
    e.eqv.functor.Additive :=
  e.eqv.functor.additive_of_preserves_binary_products

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