NEUTROSOPHIC GROUP RINGS

Abstract

The neutrosophic group rings is an algebraic structure formed from a neutrosophic group on a commutative ring with identity elements. The neutrosophic group rings is a ring so the properties that apply to the ring also apply to the neutrosophic group ring. Other aspects in the ring such as subring and also ideal are owned by the neutrosophic group ring. Because of the indeterminate element in the neutrosophic group forming the neutrosophic group rings, the subring and ideal in the neutrosophic group rings are defined in several types. Besides being a ring, the neutrosophic group rings is also a neutrosophic module. Keywords: group rings, neutrosophic element, neutrosophic group rings