A Topological Aspect of the Graded Spectrum of a Graded Ring | Chapter 3 | Current Research Progress in Physical Science Vol. 7

Let G be a group with identity e. Let R be a G-graded commutative ring. The set of all G-prime ideals of the graded Ring (R, G) which contains L denoted by V(L) for L ⊆R. GX and GM are defined to be the set of all graded ideals and the set of all graded maximal ideas of (R, G) receptivity. In this paper, we define a topology on GX having the Zariski topology on the graded prime spectrum G spec(R)=f{GX-V(L):L⊆R}, and investigate several topological properties of this topological space.

 

Author (s) Details

 

Abdulsatar Jmah AL-Juburie
College of Education for Pure Science, University of Diyala, Iraq.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v7/2926