Module.Finite

(R : Type u_1) → (M : Type u_4) → [inst : Semiring R] → [inst_1 : AddCommMonoid M] → [Module R M] → Prop

A module over a semiring is Module.Finite if it is finitely generated as a module.

Defined in: Mathlib.RingTheory.Finiteness.Defs
Cited by: 1,032 results in Mathlib
Foundations: Depth 2 from the axioms, rests on 4 definitions · uses no axioms
Assumes: Semiring AddCommMonoid Module

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