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- W2108533262 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.
- W2108533262 created "2016-06-24" @default.
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- W2108533262 date "2014-07-09" @default.
- W2108533262 modified "2023-09-27" @default.
- W2108533262 title "Direct products of modules and the pure semisimplicity conjecture. Part II" @default.
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