Manuscript Title:

REVIEW ON ALMOST IDEMPOTENT AND MULTIPLICATIVE SUB IDEMPOTENT IN TERNARY SEMIRING

Author:

B. DEEPAN, S. ANBALAGAN

DOI Number:

DOI:10.5281/zenodo.13353743

Published : 2024-08-23

About the author(s)

1. B. DEEPAN - Research Scholar, Department of Mathematics, Rajah Serfoji Government College, Thanjavur, (Affiliated to Bharathidasan University), Tiruchirappalli, Tamil Nadu, India.
2. S. ANBALAGAN - Assistant Professor, Department of Mathematics, Rajah Serfoji Government College, Thanjavur, (Affiliated to Bharathidasan University), Tiruchirappalli, Tamil Nadu, India.

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Abstract

To study Almost Idempotent and Multiplicative Sub Idempotent in Ternary Semiring. We extend the concept of almost idempotent in semiring to Ternary semiring. We discussed, when the additive idempotent and multiplicative idempotent are coinside. In this research work a number equivalent conditions were investigated. We also find some of their interesting results and properties.


Keywords

Idempotent, Almost Idempotent (AI), Multiplicative Sub Idempotent (MSI), Regular, Ternary Semiring (T.S.R).