ABSTRACT
Given two corings ℭ and D https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187629/ac445a68-1635-4dfb-97a7-7653d5efb83a/content/inq_chapter8_137_1.tif"/> projective over their Quasi-Frobenius ground rings, then there is a Morita duality between their categories of comodules ℳℭ and ℳ D https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187629/ac445a68-1635-4dfb-97a7-7653d5efb83a/content/inq_chapter8_137_2.tif"/> if and only if ℭ and D https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187629/ac445a68-1635-4dfb-97a7-7653d5efb83a/content/inq_chapter8_137_3.tif"/> are Morita-Takeuchi equivalent and semiperfect.
