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• W2006347464 abstract "For a left pure semisimple ring R , it is shown that the local duality establishes a bijection between the preinjective left R -modules and the preprojective right R -modules, and any preinjective left R -module is the source of a left almost split morphism. Moreover, if there are no nonzero homomorphisms from preinjective modules to non-preinjective indecomposable modules in R -mod, the direct sum of all non-preinjective indecomposable direct summands of products of preinjective left R -modules is a finitely generated product-complete module. This generalizes a recent theorem of Angeleri Hügel [L. Angeleri Hügel, A key module over pure-semisimple hereditary rings, J. Algebra 307 (2007) 361–376] for hereditary rings." @default.
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• W2006347464 date "2008-05-01" @default.
• W2006347464 modified "2023-10-17" @default.
• W2006347464 title "Preinjective modules over pure semisimple rings" @default.
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• W2006347464 doi "https://doi.org/10.1016/j.jpaa.2007.09.006" @default.
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