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