A Note on Free Module Decomposition over A Principal Ideal Domain

Authors : Ni Wayan Switrayni; Qurratul Aini; I Gede Adhitya Wisnu Wardhana
article cite 0 Year 2023
source: Journal of the Indonesian Mathematical Society
Abstract

Some methods have been used to express a finitely generated module over a principal ideal domain as a finite direct sum of its cyclic submodules. In this paper, we give an alternative technique to decompose a free module with finite rank over a principal ideal domain using eigen spaces of its endomorphism ring.


Concepts :
Rings, Modules, and Algebras
Commutative Algebra and Its Applications
article cite 0 Year 2023 source Journal of the Indonesian Mathematical Society
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