Displaying similar documents to “An application of modules of generalized fractions to grades of ideals and Gorenstein rings”

A note on flat modules

Ladislav Bican, Renata Binderová (1990)

Commentationes Mathematicae Universitatis Carolinae

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ℵ-products of modules and splitness.

Feng Lianggui (2002)

Publicacions Matemàtiques

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Let 0 → ∏ I Mαλ→ ∏I Mαγ→ Coker λ → 0 be an exact sequence of modules, in which ℵ is an infinite cardinal, λ the natural injection and γ the natural surjection. In this paper, the conditions are given mainly in the four theorems so that λ (γ respectively) is split or locally split....

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.