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http://dx.doi.org/10.4134/CKMS.2009.24.3.341

ROUGH PRIME IDEALS AND ROUGH FUZZY PRIME IDEALS IN GAMMA-SEMIGROUPS  

Chinram, Ronnason (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE PRINCE OF SONGKLA UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.3, 2009 , pp. 341-351 More about this Journal
Abstract
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 i-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;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By SCOPUS : 3
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