Some special structures of Sand A semirings

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 S*and A* semirings are additively and/or multiplicatively idempotent. We have also concentrated on the study of structures of totally o...

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Bibliographic Details
Published in:Indian journal of science and technology 2020-10, Vol.13 (39), p.4109-4115
Main Author: Rajeswari, G
Format: Article
Language:English
Online Access:Get full text
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Summary: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 S*and A* semirings are additively and/or multiplicatively idempotent. We have also concentrated on the study of structures of totally ordered S* and A* semirings. Methods: We have imposed singularity, cancellation property, Integral Multiple Property (IMP) and some other constrains on both semirings. Findings: when we imposed totally ordered condition on these two semirings 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.
ISSN:0974-6846
0974-5645
DOI:10.17485/IJST/v13i39.1702