A note on free module decomposition over a principal ideal domain

Ni Wayan Switrayni; I. Gede Adhitya Wisnu Wardhana; Qurratul Aini

doi:10.22342/jims.29.2.1246.150-155

A note on free module decomposition over a principal ideal domain

Ni Wayan Switrayni, I. Gede Adhitya Wisnu Wardhana, Qurratul Aini

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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.

Original language	English
Pages (from-to)	150-155
Number of pages	6
Journal	Journal of the Indonesian Mathematical Society
Volume	29
Issue number	2
Early online date	18 Jul 2023
DOIs	https://doi.org/10.22342/jims.29.2.1246.150-155
Publication status	Published - Jul 2023

Bibliographical note

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© 2023 Authors. All rights reserved.

Keywords

Eigen Space
Endomorphism
Free Module
Principal Ideal Domain

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10.22342/jims.29.2.1246.150-155

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KW - Endomorphism

KW - Free Module

KW - Principal Ideal Domain

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A note on free module decomposition over a principal ideal domain

Abstract

Bibliographical note

Keywords

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