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.- Full Text:
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- DOI:10.5539/jmr.v8n4p132
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