# Spherical Cubic Bi-Ideals of Gamma Near-Ring

## DOI:

https://doi.org/10.26713/cma.v12i4.1618## Keywords:

Spherical set, Cubic set, Gamma near-ring, Bi-ideal## Abstract

The purpose of the article is to study about spherical cubic sets and spherical cubic bi-ideals

of Gamma near-ring \(\mathcal R\). We define spherical internal and external cubic sets and their properties. We discuss *P*-order and \(\mathcal R\)-order, *P*-union, *P*-intersection, \(\mathcal R\)-union and \(\mathcal R\)-intersection of spherical cubic sets. We define spherical cubic bi-ideals of gamma near-ring \(\mathcal R\) and prove that *P*-union, *P*-intersection, \(\mathcal R\)-union and \(\mathcal R\)-intersection of spherical cubic bi-ideals of Gamma near-ring \(\mathcal R\) are also spherical cubic bi-ideals of Gamma near-ring \(\mathcal R\).

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## How to Cite

*Communications in Mathematics and Applications*,

*12*(4), 1025–1044. https://doi.org/10.26713/cma.v12i4.1618

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