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type time link
changed the proof 2016-06-16 474bf97
Fix error in Warfield lemma

Thanks to Kestutis Cesnavicius
http://stacks.math.columbia.edu/tag/0ASP#comment-2061
assigned tag 0ASP 2014-11-04 76fb98d
Tags: Added new tags
created statement with label lemma-generalized-valuation-ring-modules in more-algebra.tex 2014-10-28 d136c49
One direction of a result of Warfield

The result is a structure theorem for finitely presented modules
over a ring R whose local rings are generalized valuation rings
(for every a and b in the ring either a divides b or conversely).
Namely, every such module is a summand of a direct sum of
modules of the form R/fR.

This then quickly gives the structure of finite modules
over a PID.

So much fun!