Spherical Cubic Bi-Ideals of Gamma Near-Ring
Keywords:Spherical set, Cubic set, Gamma near-ring, Bi-ideal
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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