Journal of the Indonesian Mathematical Society
VOLUME 29 NUMBER 2 (JULY 2023)

A Note on Free Module Decomposition over A Principal Ideal Domain

Ni Wayan Switrayni (Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram)
I Gede Adhitya Wisnu Wisnu Wardhana (University of Mataram)
Qurratul Aini (Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Mataram)



Article Info

Publish Date
18 Jul 2023

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.

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Journal Info

Abbrev

JIMS

Publisher

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...