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- W4298141009 abstract "It is shown that, if $R$ is either an Artin algebra or a commutative noetherian domain of Krull dimension $1$, then infinite direct products of $R$-modules resist direct sum decomposition as follows: If $(M_n)_{n in Bbb N}$ is a family of non-isomorphic, finitely generated, indecomposable $R$-modules, then $prod_{nin Bbb N} M_n$ is not a direct sum of finitely generated modules. The bearing of this direct product condition on the pure semisimplicity problem is discussed." @default.
- W4298141009 created "2022-10-01" @default.
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- W4298141009 date "2014-07-09" @default.
- W4298141009 modified "2023-10-15" @default.
- W4298141009 title "Direct products of modules and the pure semisimplicity conjecture" @default.
- W4298141009 doi "https://doi.org/10.48550/arxiv.1407.2363" @default.
- W4298141009 hasPublicationYear "2014" @default.
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