Let us consider $(\mathbb Z,+)$ as a monoid. Is it true that all submonoids of this are finitely generated as a monoid? If yes how should I prove it (any hint). If not what will be a counterexample?
Thank you.
Let us consider $(\mathbb Z,+)$ as a monoid. Is it true that all submonoids of this are finitely generated as a monoid? If yes how should I prove it (any hint). If not what will be a counterexample?
Thank you.
Copyright © 2021 JogjaFile Inc.
Hint: consider the set of irreducible elements and their greatest common divisor.