support (graded ring)

Let S be a groupoid (semigroup, group) and suppose R=sSRs is an S- graded ringMathworldPlanetmath.

We define the supportMathworldPlanetmathPlanetmath of r to be the set supp(r)={sSrs0}. We can extend this definition to supp(R)=suppRs0}. If supp(R) is a finite setMathworldPlanetmath then we say that the ring R has finite support.

Title support (graded ring)
Canonical name SupportgradedRing
Date of creation 2013-03-22 15:40:00
Last modified on 2013-03-22 15:40:00
Owner aplant (12431)
Last modified by aplant (12431)
Numerical id 6
Author aplant (12431)
Entry type Definition
Classification msc 13A02
Related topic GradedRing
Defines support
Defines finite support