Abstract
The study of hypernear-rings is extremely challenging, offering curiously
beautiful results to one who is willing to look for structure where symmetry is not
so abundant. The purpose of this paper is to present certain results arising from a
study of hypernear-rings. In particular, we define the notion of hyper R-subgroup of a
hypernear-ring and we investigate some properties of hypernear-rings with respect to
the hyper R-subgroups.
