R-CONVEX SUBSETS OF BIMODULES OVER *-RINGS

Let M and N be bimodules over the unital *-rings R and B, respectively.We investigate the notion of R-convexity and the corresponding notion of R-extreme points.We discuss the effect of an f-homomorphism onR-convex subsets and its\linebreak R-extreme points.Namely, we declare how an f-homomorphismfrom M to N carries R-convex subsets and its R-extreme points to B-convex subsets and its B-extreme pointsand vice versa.\linebreak Moreover, we confirm that the R-convex hull of invariant subsets under f-homomorphismsremains invariant.

کلیدواژه ها:

R-convex sets ، R-extreme points ، f-homomorphism