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• W3123445303 abstract "We introduce a general version of singular compactness theorem which makes it possible to show that being a $Sigma$-cotorsion module is a property of the complete theory of the module. As an application of the powerful tools developed along the way, we give a new description of Gorenstein flat modules which implies that, regardless of the ring, the class of all Gorenstein flat modules forms the left-hand class of a perfect cotorsion pair. We also prove the dual result for Gorenstein injective modules." @default.
• W3123445303 created "2021-02-01" @default.
• W3123445303 creator A5044339594 @default.
• W3123445303 creator A5052123316 @default.
• W3123445303 date "2020-03-12" @default.
• W3123445303 modified "2023-10-17" @default.
• W3123445303 title "Singular compactness and definability for $$Sigma $$-cotorsion and Gorenstein modules" @default.
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• W3123445303 doi "https://doi.org/10.1007/s00029-020-0543-2" @default.
• W3123445303 hasPublicationYear "2020" @default.
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