Article ID Journal Published Year Pages File Type
6414620 Journal of Algebra 2014 9 Pages PDF
Abstract

We prove a unique decomposition theorem for direct products of finitely generated modules over certain classes of rings, which is analogous to the classical Krull-Schmidt-Remak-Azumaya theorem for direct-sum decompositions of modules.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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A Krull-Schmidt theorem for infinite products of modules
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