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

Yaqoub Ahmed Khan, Muhammad Aslam, Liaqat Ali

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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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|