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- W2963777119 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 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.
- W2963777119 created "2019-07-30" @default.
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- W2963777119 date "2002-05-01" @default.
- W2963777119 modified "2023-09-23" @default.
- W2963777119 title "Direct products of modules and the pure semisimplicity conjecture. Part II" @default.
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- W2963777119 doi "https://doi.org/10.1017/s001708950202013x" @default.
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