Commutativity of MA-Semirings with Involution through Generalized Derivations

In this paper, we study the generalized derivations of MA-semirings with involution. We discuss some differential identities satisfied by the generalized derivations which force the semirings with involution to be commutative.

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Main Authors: Liaqat Ali, Muhammad Aslam, Muhammad Imran Qureshi, Yaqoub Ahmed Khan, Shafiq Ur Rehman, Ghulam Farid
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/8867247
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author Liaqat Ali
Muhammad Aslam
Muhammad Imran Qureshi
Yaqoub Ahmed Khan
Shafiq Ur Rehman
Ghulam Farid
author_facet Liaqat Ali
Muhammad Aslam
Muhammad Imran Qureshi
Yaqoub Ahmed Khan
Shafiq Ur Rehman
Ghulam Farid
author_sort Liaqat Ali
collection DOAJ
description In this paper, we study the generalized derivations of MA-semirings with involution. We discuss some differential identities satisfied by the generalized derivations which force the semirings with involution to be commutative.
format Article
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institution OA Journals
issn 2314-4629
2314-4785
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-c2433a63d24e44dca1375d17c82721df2025-08-20T02:19:03ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88672478867247Commutativity of MA-Semirings with Involution through Generalized DerivationsLiaqat Ali0Muhammad Aslam1Muhammad Imran Qureshi2Yaqoub Ahmed Khan3Shafiq Ur Rehman4Ghulam Farid5Department of Mathematics, Govt. M.A.O College Lahore, Lahore, PakistanGC University, Lahore, PakistanDepartment of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari, PakistanDepartment of Mathematics, Government Islamia College Lahore, Lahore, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanDepartment of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanIn this paper, we study the generalized derivations of MA-semirings with involution. We discuss some differential identities satisfied by the generalized derivations which force the semirings with involution to be commutative.http://dx.doi.org/10.1155/2020/8867247
spellingShingle Liaqat Ali
Muhammad Aslam
Muhammad Imran Qureshi
Yaqoub Ahmed Khan
Shafiq Ur Rehman
Ghulam Farid
Commutativity of MA-Semirings with Involution through Generalized Derivations
Journal of Mathematics
title Commutativity of MA-Semirings with Involution through Generalized Derivations
title_full Commutativity of MA-Semirings with Involution through Generalized Derivations
title_fullStr Commutativity of MA-Semirings with Involution through Generalized Derivations
title_full_unstemmed Commutativity of MA-Semirings with Involution through Generalized Derivations
title_short Commutativity of MA-Semirings with Involution through Generalized Derivations
title_sort commutativity of ma semirings with involution through generalized derivations
url http://dx.doi.org/10.1155/2020/8867247
work_keys_str_mv AT liaqatali commutativityofmasemiringswithinvolutionthroughgeneralizedderivations
AT muhammadaslam commutativityofmasemiringswithinvolutionthroughgeneralizedderivations
AT muhammadimranqureshi commutativityofmasemiringswithinvolutionthroughgeneralizedderivations
AT yaqoubahmedkhan commutativityofmasemiringswithinvolutionthroughgeneralizedderivations
AT shafiqurrehman commutativityofmasemiringswithinvolutionthroughgeneralizedderivations
AT ghulamfarid commutativityofmasemiringswithinvolutionthroughgeneralizedderivations