Commun. Korean Math. Soc. 2009; 24(3): 341-351
Printed September 1, 2009
https://doi.org/10.4134/CKMS.2009.24.3.341
Copyright © The Korean Mathematical Society.
Ronnason Chinram
Prince of Songkla University
The notion of rough sets was introduced by Z. Pawlak in the year 1982. The notion of a $\Gamma$-semigroup was introduced by M. K. Sen in the year 1981. In 2003, Y. B. Jun studied the roughness of sub$\Gamma$-semigroups, ideals and bi-ideals in $\Gamma$-semigroups. In this paper, we study rough prime ideals and rough fuzzy prime ideals in $\Gamma$-semigroups.
Keywords: congruences, $\Gamma$-semigroups, quotient $\Gamma$-semigroups, prime ideals, $\Theta$-lower rough prime ideals, $\Theta$-upper rough prime ideals
MSC numbers: Primary 20N25, 20M99, 20M12
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