On the Direct Product of Cubic Neutrosophic Subrings

Authors

  • B. Anitha Assistant Professor, Dept. Mathematics, Annamalai University, Chidambaram, Tamil Nadu, India.
  • M. Lavanya Research scholar, Dept. Mathematics, Annamalai University, Chidambaram, Tamil Nadu, India.

Keywords:

Cubic Neutrosophic Sets, Cubic Neutrosophic Subrings, Cubic Neutrosophic Normal Subrings, Cubic Neutrosophic ideals, Direct Product.

Abstract

This paper introduces the direct product of two cubic neutrosophic sets and examines its 
fundamental properties. A formal definition of the construction is presented, and its behavior is 
studied through a series of results. The investigation includes closure properties, internal 
relationships within the product, and preservation of essential features in the combined setting. 
Several theorems are established to characterize the operation of the direct product, together with 
conditions ensuring its consistency. The study emphasizes the role of direct products in broadening 
the scope of cubic neutrosophic sets and provides a systematic treatment within this framework.

 

DOI: 10.5281/zenodo.17069362

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Published

2025-12-25

Issue

Vol. 94 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

B. Anitha, & M. Lavanya. (2025). On the Direct Product of Cubic Neutrosophic Subrings. Neutrosophic Sets and Systems, 94, 308-322. https://fs.unm.edu/nss8/index.php/111/article/view/7206