The Z/2 Z cohomology of the universal ordinary distribution
Daniel S. Kubert (1979)
Bulletin de la Société Mathématique de France
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The Z/2 Z cohomology of the universal ordinary distribution
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Rüdiger Göbel, Saharon Shelah (1986)
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Dual dimension of modules over normalizing extensions.
Ahmad Shamsuddin (1993)
Publicacions Matemàtiques
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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.