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- W4298372879 abstract "We prove that the module categories of Noether algebras (i.e., algebras module finite over a noetherian center) and affine noetherian PI algebras over a field enjoy the following product property: Whenever a direct product $prod_{n in Bbb N} M_n$ of finitely generated indecomposable modules $M_n$ is a direct sum of finitely generated objects, there are repeats among the isomorphism types of the $M_n$. The rings with this property satisfy the pure semisimplicity conjecture which stipulates that vanishing one-sided pure global dimension entails finite representation type." @default.
- W4298372879 created "2022-10-02" @default.
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- W4298372879 date "2014-07-09" @default.
- W4298372879 modified "2023-10-18" @default.
- W4298372879 title "Direct products of modules and the pure semisimplicity conjecture. Part II" @default.
- W4298372879 doi "https://doi.org/10.48550/arxiv.1407.2365" @default.
- W4298372879 hasPublicationYear "2014" @default.
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