Algebraic Structure of Neutrosophic Duplets in Neutrosophic Rings <Z∪I>, Q∪I, and <R∪I>

Abstract

The concept of neutrosophy and indeterminacy I was introduced by Smarandache, to deal with neutralies. Since then the notions of neutrosophic rings, neutrosophic semigroups and other algebraic structures have been developed. Neutrosophic duplets and their properties were introduced by Florentin and other researchers have pursued this study.In this paper authors determine the neutrosophic duplets in neutrosophic rings of characteristic zero. The neutrosophic duplets; the neutrosophic ring of integers, neutrosophic ring of rationals and neutrosophic ring of reals respectively have been analysed.

Keywords

• Neutrosophic ring
• neutrosophic duplet