关于主理想域上自由模分解的一个注记

IF 0.3 Q4 MATHEMATICS Journal of the Indonesian Mathematical Society Pub Date : 2023-07-18 DOI:10.22342/jims.29.2.1246.150-155

Ni Wayan, Switrayni, Gede Adhitya, Wisnu Wardhana, Q. Aini

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摘要

用一些方法将主理想域上的有限生成模表示为其循环子模的有限直和。本文给出了一种利用自同态环的特征空间在主理想域上分解有限秩自由模的替代方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Note on Free Module Decomposition over A Principal Ideal Domain

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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