On Neutrosophic Soft Boolean Rings and Ideals

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DOI: https://doi.org/10.28924/2291-8639-24-2026-263
Published: Aug 24, 2026
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Gadde Sambasiva Rao, Dasari Ramesh, Shake Baji, Aiyared Iampan, R. Durga Prasad, B. Satyanarayana, On Neutrosophic Soft Boolean Rings and Ideals, Int. J. Anal. Appl., 24 (2026), 263.

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Gadde Sambasiva Rao, Dasari Ramesh, Shake Baji, Aiyared Iampan, R. Durga Prasad, B. Satyanarayana

Abstract

In this paper, we study neutrosophic soft sets in the setting of Boolean rings. We introduce the notions of neutrosophic soft Boolean rings and neutrosophic soft ideals over Boolean rings. Several basic operations, including union, intersection, AND, and OR operations, are defined and investigated in this framework. We establish some closure properties of neutrosophic soft Boolean rings and neutrosophic soft ideals under the proposed operations, together with suitable conditions when needed. We also show that every neutrosophic soft ideal of a Boolean ring is a neutrosophic soft Boolean ring. The results provide a basic algebraic framework for studying neutrosophic soft structures associated with Boolean rings.

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