Some results on commutativity of MA-semirings

Liaqat Ali; Muhammad Aslam; Yaqoub Ahmed Khan

doi:10.17485/IJST/v13i31.1022

Article

Some results on commutativity of MA-semirings

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v13i31.1022

Year: 2020, Volume: 13, Issue: 31, Pages: 3198-3203

Original Article

Some results on commutativity of MA-semirings

Liaqat Ali^1*, Muhammad Aslam², Yaqoub Ahmed Khan³

¹Assistant Professor of Mathematics, Government M.A.O College Lahore, Pakistan. Tel.: +923004557189
²Professor of Mathematics, Government College University, Lahore, Pakistan
³Assistant Professor of Mathematics, GIC, Lahore, Pakistan

*Corresponding Author
Tel: +923004557189
Email: [email protected]

Received Date:27 June 2020, Accepted Date:25 July 2020, Published Date:29 August 2020

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: The main aim of this article is to extend the concept of involution for a certain class of semirings known as MA-semirings. Now a days the commutativity conditions in the theory of rings and semirings becomes crucial for researchers. This motivates us to discuss some conditions on MA-semirings with involution which enforces commutativity. Method: We use the tools of derivations and involutions of second kind on MA-semirings. Findings: We are able to find the conditions of commutativity in semirings through these particular mappings. Novelty: To define the concept of Hermitian elements in MA-semirings with involution and to establish some commutativity results through different conditions involving Hermitian elements is the novel idea.

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Copyright

© 2020 Ali 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).