CPC Module 2 Case Study Revision - LGV/HGV Theory Test Practice 2026

Matrices with Examples and Questions with Solutions

Question:Define Homomorphism and Kernel of homomorphism from a... | Filo

(a) Prove Fitting's Lemma : If M is an artinian module and f : M ⟶M is an injective homomorphism, then f is surjective. (b) Prove the dual assertion to Fitting's Lemma: If M is a noetherian module and f: M ⟶M is a surjective homomorphism, then f is injective. (c) Let G be a free abelian group of finite rank, and let ϕ: G ⟶G be an epimorphism. Show that ϕis an isomorphism. | Numerade