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- W209804793 abstract "Suppose X, Y and Z are modules over a commutative ring R and that X⊕Z ≅ Y⊕Z. This cancellation problem is to determine conditions under which one can conclude that X ≅ Y. There are many counterexamples, some interesting, some boring, involving modules that aren’t finitely generated. (For an example of the second sort, take X = 0, Y = R, Z = free module of infinite rank.) In this paper we will assume that all modules are finitely generated. Further, all rings are assumed to be commutative and Noetherian." @default.
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- W209804793 date "1984-01-01" @default.
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- W209804793 title "Direct Sum Cancellation over Noetherian Rings" @default.
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- W209804793 doi "https://doi.org/10.1007/978-3-7091-2814-5_32" @default.
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