Coherent rings and completions

Hassan, Bahzad (2011) Coherent rings and completions. MSc(R) thesis, University of Glasgow.

Abstract

Commutative coherent rings form a standard class of rings which include commutative
Noetherian rings. The notion of completion with respect to a maximal ideal is also stan-
dard, but it seems not to have been well studied for coherent rings. The aim of this project
is to study completion for coherent regular local rings and the derived functors of comple-
tion on their module categories. In particular, the theory of L-complete modules due to
Greenlees and May should have an analogue and a major goal is to establish which parts
of it work for these rings.

• Item Type: Thesis (MSc(R))
• Qualification Level: Masters
• Subjects: Q Science > QA Mathematics
• Colleges/Schools: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Supervisor's Name: Baker, Dr. Andrew J.
• Date of Award: 2011
• Depositing User: Mr Bahzad Hassan
• Unique ID: glathesis:2011-2514
• Copyright: Copyright of this thesis is held by the author.
• Date Deposited: 28 Apr 2011
• Last Modified: 10 Dec 2012 13:56
• URI: http://theses.gla.ac.uk/id/eprint/2514