Classes of T*-Semiring

M Amala; N Sulochana; G Rajeswari

doi:10.17485/IJST/v15i11.1020

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v15i11.1020

Year: 2022, Volume: 15, Issue: 11, Pages: 489-494

Original Article

Classes of T*-Semiring

M Amala^1*, N Sulochana², G Rajeswari³

¹Assistant Professor, Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, Andhra Pradesh, India
²Lecturer, Government Degree college, V.Madugula, Visakhapatnam, Andhra Pradesh, India
³Yogi Vemana University, Kadapa, Andhra Pradesh, India

*Corresponding Author
Email: [email protected]

Received Date:04 June 2021, Accepted Date:14 December 2021, Published Date:22 March 2022

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

Abstract

Objectives: The main objective of this research article is to study the semiring structures, we have majorly focused on the constrains under which the structures of T*- semiring are additively and/or multiplicatively idempotent. We have also concentrated on the study of structures of totally ordered of T*- semiring. Methods: We have imposed singularity, cancellation property, Integral Multiple Property (IMP) and some other constrains on T*- semiring. Findings: when we imposed totally ordered condition on T*- semiring we observed that the additive structure takes place as a maximum addition. Applications: The proposed idempotents have wide applications to computer science, dynamical and logical systems, cryptography, graph theory and artificial intelligence. Mathematics Subject Classification. 20M10, 16Y60.

Keywords: and phrases: Almost idempotent; Idempotent; Integral Multiple Property; multiplicatively subidempotent; Periodic; Rectangular band; singular semigroup; Zeroid

References

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Rajeswari G, Vasanthi M, Amala M, Narayana L. Some Properties of Square Absorption Semirings. Journal of Mechanics of Continua and Mathematical Sciences. 2020;15(8):727–733. Available from: http://doi.org/10.26782/jmcms.2020.08.00059
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Priya DDP, Shobhalatha G, Nagireddy U, Bhuvana R, Vijaya. Fuzzy Ideals in Right Almost Semigroups”. International Journal for Research in Engineering Application & Management. 2019;05(4). Available from: https://doi.org/10.35291/2454-9150.2019.0301

Copyright

© 2022 Amala 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)