A characterization of Gorenstein rings in characteristic 𝑝(>0)

Dutta, S.

doi:10.1090/S0002-9939-98-04228-2

A characterization of Gorenstein rings in characteristic $p\ (>0)$
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Proc. Amer. Math. Soc. 126 (1998), 1637-1643 Request permission

Abstract:

A new characterization of Gorenstein rings in characteristic $p (>0)$ is proved. It involves asymptotic behaviour of lengths of modules under the Frobenius map.

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