Indian Journal of Science and Technology
Year: 2021, Volume: 14, Issue: 21, Pages: 1786-1790
T Sunitha 1 , U Nagi Reddy✉ 3 , G Shobhalatha 4
Received Date:25 January 2021, Accepted Date:03 May 2021, Published Date:19 June 2021
Objectives: k – ideals plays a vital role in ternary semirings. Ternary algebraic systems is a generalization of algebraic structures and it is the most natural way for the further development, deeper understanding of their properties. Methods: We have imposed Integral Multiple Property (IMP) and some other different constrains on a ternary semiring. Findings: In this study, we have described more results on the full k-ideal in the ternary semirings. Finally, we provide the characterization of full k-ideal in ternary semirings and studied their related properties. Applications: The structures of ideals in ternary semirings are widely applicable to computer sciences, dynamical and logical systems, cryptography, graph theory and artificial intelligence.
Ternary Semiring, Ideal, k- Ideal, Full k- Ideal, Inverse
© 2021 Sunitha et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)
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