Home 9 Volume 9 On various almost ideals of semirings
Open AccessArticle
On various almost ideals of semirings

Annamalai University, Department of Mathematics, Chidambaram, 608002, India

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (1),
17-25.
https://doi.org/10.62072/acm.2021.040103
Received: 1 January 2021 |
Accepted: 7 March 2021 |
Published: 31 March 2021

Abstract

In this paper, we study various almost ideals (shortly A -ideals), quasi A – ideals, bi quasi A -ideals, tri A -ideals and tri quasi A -ideals in semiring and give some characterizations. Some relevant counter examples are also indicated. We develop the implications ideal =⇒ quasi ideal =⇒ bi quasi ideal =⇒ tri quasi ideal =⇒ tri quasi A -ideal =⇒ 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 semiring.

Keywords

Cite This Article

On various almost ideals of semirings.

Annals of Communications in Mathematics,

2021,
4 (1):
17-25.
https://doi.org/10.62072/acm.2021.040103
  • 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/).

    0 Comments

    Submit a Comment

    Your email address will not be published. Required fields are marked *

    Preview PDF

    XML File

    Loading

    Share