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We prove that the Krull-Schmidt Theorem holds for finite direct products of biuniform groups, that is, groups G whose lattice of normal subgroups ????(G)$\mathcal {N}(G)$ has Goldie dimension and dual… Click to show full abstract
We prove that the Krull-Schmidt Theorem holds for finite direct products of biuniform groups, that is, groups G whose lattice of normal subgroups ????(G)$\mathcal {N}(G)$ has Goldie dimension and dual Goldie dimension 1. More generally, it holds for the class of completely indecomposable groups.
Keywords:
holds finite;
theorem holds;
finite direct;
krull schmidt;
schmidt theorem;
direct products
Journal Title: Algebras and Representation Theory
Year Published: 2018
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Journal Title: Algebras and Representation Theory
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!