Coherent rings and completions

[摘要] Commutative coherent rings form a standard class of rings which include commutativeNoetherian 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 projectis 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 toGreenlees and May should have an analogue and a major goal is to establish which partsof it work for these rings.

[发布机构] University:University of Glasgow;Department:School of Mathematics and Statistics

[关键词] QA Mathematics