TITLE:
A Note on Finitely Generated Modules over a PID
AUTHORS:
Xinru Ma, Heguo Liu, Honglian Zhang
KEYWORDS:
Finitely Generated Module, Principal Ideal Domain, Cyclic Module
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.10 No.12,
December
21,
2020
ABSTRACT: In this note, we provide an effective proof of the fundamental structure theorem of finitely generated modules over a principal ideal domain, from which we find the minimality of decomposition for a finitely generated module over a principal ideal domain.