Commutativity of MA-Semirings with Involution through Generalized Derivations

Author:

Ali Liaqat1,Aslam Muhammad2,Qureshi Muhammad Imran3ORCID,Khan Yaqoub Ahmed4,Rehman Shafiq Ur5ORCID,Farid Ghulam5ORCID

Affiliation:

1. Department of Mathematics, Govt. M.A.O College Lahore, Lahore, Pakistan

2. GC University, Lahore, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari, Pakistan

4. Department of Mathematics, Government Islamia College Lahore, Lahore, Pakistan

5. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan

Abstract

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.

Publisher

Hindawi Limited

Subject

General Mathematics

Reference26 articles.

1. On condition (A2) of bandlet and petrich for inverse semiqrings;M. A. Javed;International Mathematical Forum,2012

2. Subdirect products of rings and distrbutive lattics;H. J. Bandlet;Proceedings of the Edinburgh Mathematical Society,1982

3. Commuting mappings of semiprime MA-semirings;M. A. Javed;World Applied Sciences Journal (WASJ),2014

4. On centralizer of semiprime inverse semiring;M. Sara;General Algebra and Applications,2016

5. SOME COMMUTATIVITY CONDITIONS ON *-PRIME SEMIRINGS

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