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An intrinsic definition of the Rees algebra of a module

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This paper concerns a generalization of the Rees algebra of ideals due to Eisenbud, Huneke and Ulrich that works for any finitely generated module over a noetherian ring. Their definition… Click to show full abstract

This paper concerns a generalization of the Rees algebra of ideals due to Eisenbud, Huneke and Ulrich that works for any finitely generated module over a noetherian ring. Their definition is in terms of maps to free modules. We give an intrinsic definition using divided powers.

Keywords: definition; algebra module; definition rees; intrinsic definition; rees algebra

Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2017

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