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On Self-Injective Perfect Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
Let R be a left and right perfect right self-injective ring. It is shown that if the radical of R is countably generated as a left ideal then R is quasi-Frobenius. It is also shown that the same conclusion can be drawn if r(A ∩ B) = r(A) + r(B) for all left ideals A and B of R.
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- Copyright © Canadian Mathematical Society 1995
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