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An intrinsic definition of the Rees algebra of a module

Part of: Theory of modules and ideals General commutative ring theory

Published online by Cambridge University Press:  22 February 2017

Gustav Sædén Ståhl
Gustav Sædén Ståhl*
Affiliation:
Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden ([email protected])
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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

Rees algebrasdivided powersbialgebras

MSC classification

Primary: 13A30: Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 13C12: Torsion modules and ideals
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 1 , February 2018 , pp. 13 - 30
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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