On Indecomposable Projective Modules

Groups, Rings, Domains, Modules, etc, Galois theory
Post Reply
Tsakanikas Nickos
Community Team
Posts: 314
Joined: Tue Nov 10, 2015 8:25 pm

On Indecomposable Projective Modules

#1

Post by Tsakanikas Nickos »

Let \( A \) be a \( \mathbb{K} \)-algebra. Show that if \( P \) and \( Q \) are indecomposable projective \( A \)-modules and if \( \displaystyle f \ \colon P \longrightarrow Q \) is an \( A \)-module epimorphism, then \( f \) is an isomorphism.
Post Reply

Create an account or sign in to join the discussion

You need to be a member in order to post a reply

Create an account

Not a member? register to join our community
Members can start their own topics & subscribe to topics
It’s free and only takes a minute

Register

Sign in

Who is online

Users browsing this forum: No registered users and 11 guests