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13Cxx - Theory of modules and ideals

13C05 - Structure, classification theorems
13C10 - Projective and free modules and ideals
13C11 - Injective and flat modules and ideals
13C12 - Torsion modules and ideals
13C13 - Other special types
13C14 - Cohen-Macaulay modules
13C15 - Dimension theory, depth, related rings (catenary, etc.)
13C20 - Class groups
13C40 - Linkage, complete intersections and determinantal ideals
13C99 - Miscellaneous
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