has a rank

Let R be a Noetherian ringMathworldPlanetmath with total quotient ring Quot(R), and M a finitely generatedMathworldPlanetmathPlanetmathPlanetmath R-module. We say M has a rank if MRQuot(R)Quot(R)n for some non-negative integer n. And in this situation, we say M has rank n.

Title has a rank
Canonical name HasARank
Date of creation 2013-03-22 18:13:41
Last modified on 2013-03-22 18:13:41
Owner yshen (21076)
Last modified by yshen (21076)
Numerical id 6
Author yshen (21076)
Entry type Definition
Classification msc 13C99