Division hypernear-rings

Abstract

This paper is a continuation of our work on hypernear-rings with a defect of distributivity D. In particular, here we introduce and study a new subclass of hypernear-rings, called D-division hypernear-rings, establishing a necessary and sufficient condition such that a hypernear-ring with the defect D is a D-division hypernear-ring. Several properties and examples of these two subclasses of hypernear-rings are presented and discussed.

Keywords

• hypernear-ring
• defect of distributivity
• d.g. hypernear-ring
• division hypernear-ring
• 20n20