In this paper, we are going to define Neutrosophic Boolean rings and study their algebraic
structure. A finite Boolean ring R satisfies the identity 2a a= for alla R∈, which implies the …

Let N (R, I) be a commutative Neutrosophic ring with unity. Then the set of all Neutrosophic
group units of N (R, I) is denoted by N (R×, I). In this paper, we studied concrete properties of …

Let R be a finite commutative ring with unity. In this paper, we consider set of additive and
mutual additive inverses of group units of R and obtain interrelations between them. In …

Page 1 Neutrosophic Sets and Systems, Vol. 30, 2019 University of New Mexico A Study on
Neutrosophic Zero Rings T.Chalapathi1,* and L. Madhavi2 1 Department of Mathematics …

We explore a finite Neutrosophic field 𝑭𝒑 (𝑰) and its Neutrosophic multiplicative group 𝑭𝒑
(𝑰)× in this study. We first show| 𝑭𝒑 (𝑰)×|=(𝒑− 𝟏) 𝟐 and then its algebraic properties are …

In this paper, we study a special class of elements in the finite commutative rings called
involutions. An involution of a ring R is an element with the property that x^ 2-1= 0 for some x …

This article introduces the notion of duplex elements of the finite rings and corresponding
neutrosophic rings. The authors establish duplex ring Dup (R) and neutrosophic duplex ring …

This research has broadened the definition of the neutrosophic regular in neutrosophic
rings, similar to what is known in classical rings. We have studied the properties of …

ABSTRACT Let N (R, I) be a Neutrosophic ring of a finite commutative classical ring R with
nonzero identity. Then the Neutrosophic invertible graph of N (R, I), denoted by ℐG (N (R, I)) …

We explore a finite Neutrosophic field 𝑭𝒑 (𝑰) and its Neutrosophic multiplicative group 𝑭𝒑
(𝑰)× in this study. We first show| 𝑭𝒑 (𝑰)×|=(𝒑− 𝟏) 𝟐 and then its algebraic properties are …