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Showing 1 to 2 of 2 for “"Modules (Algebra)"”.
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On Descent in Dimension Two and Non-Split Gorenstein Modules (Algebra, Commutative)
… the question of the decomposition of Gorenstein modules over normal domains can be reduced to the same question over normal domains of low dimension (that is, dimension four or less).
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On rings with distinguished ideals and their modules.
Let S be an integral domain, R an S algebra, and F a family of left ideals of R. Define End(R, F) = {φ ∈ End(R+) : φ(X ) ⊆ X for all X ∈ F }. In 1967, H. Zassenhaus proved that if R is a ring such that R+ is free of finite rank, then there is a left R module M such that R ⊆ M ⊆ QR and End(M+) = R. …