EUDML | Constructing formal groups. VIII. Formal $A$-modules

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Displaying similar documents to “Constructing formal groups. VIII. Formal $A$ -modules”

Dual dimension of modules over normalizing extensions.

Ahmad Shamsuddin (1993)

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Let S = Σ Ra be a finite normalizing extension of R and suppose that M is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(M) ≤ n · crk(M) if either M is artinian or the group homomorphism M → aM given by x → ax is an isomorphism.

On *-modules over valuation rings

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