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monoidal category

Noun CEFR B2

Definitions

A category π’ž with a bifunctor βŠ—:π’žΓ—π’žβ†’π’ž which may be called tensor product, an associativity isomorphism Ξ±_(A,B,C):(AβŠ—B)βŠ—C≃AβŠ—(BβŠ—C), an object I which may be called tensor unit, a left unit natural isomorphism Ξ»_A:IβŠ—A≃A, a right unit natural isomorphism ρ_A:AβŠ—I≃A, and some "coherence conditions" (pentagon and triangle commutative diagrams for those isomorphisms).

CEFR level

B2
Upper Intermediate
This word is part of the CEFR B2 vocabulary β€” upper intermediate level.
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