A Note on Full k-Ideals in Ternary Semirings

T nbsp Sunitha nbsp   nbsp; nbsp U nbsp Nagi Reddy       nbsp   nbsp; nbsp G nbsp Shobhalatha nbsp

doi:10.17485/IJST/v14i21.150

Article

A Note on Full k-Ideals in Ternary Semirings

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i21.150

Year: 2021, Volume: 14, Issue: 21, Pages: 1786-1790

Original Article

A Note on Full k-Ideals in Ternary Semirings

T Sunitha ¹, U Nagi Reddy✉ ³, G Shobhalatha ⁴

¹Research Scholar, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh

²Lecturer in Govt. Degree College, Kurnool, Andhra Pradesh

³Assistant Professor, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh

⁴Professor, Department of Mathematics, Sri Krishnadevaraya University, Anantapur, Andhra Pradesh

Received Date:25 January 2021, Accepted Date:03 May 2021, Published Date:19 June 2021

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

Abstract

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.

Keywords

Ternary Semiring, Ideal, k- Ideal, Full k- Ideal, Inverse

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Copyright

© 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)