Commutativity of $\Gamma$-Generalized Boolean Semirings with Derivations


  •  Tossatham Makkala    
  •  Utsanee Leerawat    

Abstract

In this paper the notion of derivations on $\Gamma$-generalized Boolean semiring are established, namely $\Gamma$-$(f, g)$ derivation and $\Gamma$-$(f, g)$ generalized derivation. We also investigate the commutativity of prime $\Gamma$-generalized Boolean semiring admitting $\Gamma$-$(f, g)$ derivation and $\Gamma$-$(f, g)$ generalized derivation satisfying some conditions.


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