Commutativity of Additive Inverse Semirings through f(xy) = [x,f(y)]: Yaqoub Ahmed Khan, Muhammad Aslam, Liaqat Ali

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Commutativity of Additive Inverse Semirings through f(xy) = [x,f(y)]

Yaqoub Ahmed Khan, Muhammad Aslam, Liaqat Ali

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Keywords:

Additive Inverse Semirings, MA-Semirings, Semi Prime Semiring, Centralizing mapping, Commutative Semiring

Abstract

In this paper, we introduce an additive mapping f : S −→ S on additive
inverse semiring S, satisfying f(xy) = [x,f(y)]. We investigate its properties and establish the commutativity of additive inverse semiring with the help of this mapping.

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Published

2018-11-22

How to Cite

Team, S. (2018). Commutativity of Additive Inverse Semirings through f(xy) = [x,f(y)]: Yaqoub Ahmed Khan, Muhammad Aslam, Liaqat Ali. Thai Journal of Mathematics, 288–300. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/743