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We present a version of an unpublished result of A.L.S. Corner on p-adic modules with anti-isomorphic endomorphism algebras. The result gives a complete description of necessary conditions for two such modules to have anti-isomorphic endomorphism algebras and a sufficient condition is also given. A main difference in the current version is that extensive use is made of our ability to describe certain homomorphism groups.
Goldsmith, B., White, N. Corner’s theorem on modules with anti-isomorphic endomorphism algebras. Period Math Hung (2022). DOI: 10.1007/s10998-022-00453-x