Non-Noetherian Cohen–Macaulay rings

Tracy Dawn Hamilton; Thomas Marley

doi:10.1016/j.jalgebra.2006.08.003

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Non-Noetherian Cohen–Macaulay rings

Tracy Dawn Hamilton and Thomas Marley

Journal of algebra, Vol.307(1), pp.343-360

2007

DOI: https://doi.org/10.1016/j.jalgebra.2006.08.003

Handle:

https://hdl.handle.net/20.500.12741/rep:3865

Abstract

Non-Noetherian ring

Cohen–Macaulay

In this paper we investigate a property for commutative rings with identity which is possessed by every coherent regular ring and is equivalent to Cohen–Macaulay for Noetherian rings. We study the behavior of this property in the context of ring extensions (of various types) and rings of invariants.

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Title: Non-Noetherian Cohen–Macaulay rings
Creators: Tracy Dawn Hamilton - Department of Mathematics and Statistics, California State University, Sacramento, CA 95819-6051, USA
Thomas Marley - Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0130, USA
Academic Unit: Mathematics/Statistics Department
Publisher: Elsevier Inc
Publication Details: 2007
Identifiers: 99257847092601671; https://hdl.handle.net/20.500.12741/rep:3865; https://doi.org/10.1016/j.jalgebra.2006.08.003
Language: English