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New approach towards A-ideals in ternary semirings

Kings Engineering College, Department of Mathematics, Chennai, 602117, India.

Bharath Institute of Higher Education and Research, Department of Mathematics, Chennai, 600073, India.

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (2),
114-125.
https://doi.org/10.62072/acm.2021.040203
Received: 06 April 2021 |
Accepted: 25 June 2021 |
Published: 30 September 2021

Abstract

To interact somebody with someone various almost ideals (shortly A -ideals), quasi A -ideals, bi quasi A -ideals, tri A -ideals and tri quasi A -ideals in ternary semiring and give some characterizations. We develop the implications ideal =⇒ quasi ideal =⇒ two sided bi quasi ideal =⇒ two sided tri quasi ideal =⇒ two sided tri quasi A -ideal =⇒ two sided bi quasi A -ideal =⇒ bi A -ideal =⇒ quasi A -ideal =⇒ A -ideal and reverse implications do not holds with examples. We show that the union of A -ideals (bi A -ideals, quasi A -ideals, bi quasi A -ideals) is a A -ideal (bi A -ideal, quasi A -ideal, bi quasi A -ideal) in ternary semiring.

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Cite This Article

New approach towards A-ideals in ternary semirings.

Annals of Communications in Mathematics,

2021,
4 (2):
114-125.
https://doi.org/10.62072/acm.2021.040203
  • Creative Commons License
  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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