Indian Journal of Science and Technology
Year: 2022, Volume: 15, Issue: 11, Pages: 489-494
M Amala1*, 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
Email: [email protected]
Received Date:04 June 2021, Accepted Date:14 December 2021, Published Date:22 March 2022
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
© 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)
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