Properties of Group Neutro-Topological Space

Bhimraj Basumatary^*1, Binod Chandra Tripathy²

¹Department of Mathematical Sciences, Bodoland University, 783370, Kokrajhar, India

²Department Of Mathematics, Tripura University, Agartala, 799022, Tripura, India

Emails: brbasumatary14@gmail.com; tripathybc@gmail.com

Abstract

Unlike traditional algebraic structures, where all operations are well-defined and all axioms are completely true, NeutroAlgebras and AntiAlgebras allow operations to be partially well-defined and axioms to be partially true or fully outer-defined, and axioms to be completely false. These NeutroAlgebras and AntiAlgebras represent a new research subject based on real-world examples. Since an empty set is not a subgroup of a group by observing this, the article leads to learning group neutro-topological space. We introduced the notion of a group neutro-topological space and investigated its properties.

Keywords: Topological Space; Neutrosophic Set; NeutroAlgebras; Neutro-Topological Space; Group Neutro-Topological Space.