Artinian duo rings and self-duality

Xue, Wei Min

doi:10.1090/S0002-9939-1989-0938916-5

Artinian duo rings and self-duality
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Proc. Amer. Math. Soc. 105 (1989), 309-313 Request permission

Abstract:

We show that the endomorphism ring of the minimal cogenerator over an Artinian duo ring is still an Artinian duo ring, and that an Artinian duo ring has self-duality if its Jacobson radical is a direct sum of colocal ideals.

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