JP Journal of Algebra, Number Theory and Applications
Volume 12, Issue 1, Pages 113 - 120
(October 2008)
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ROUGHNESS OF QUASI-IDEALS IN -SEMIGROUPS
Chutiporn Jirojkul (Thailand), Ronnason Chinram (Thailand) and Rattanaporn Sripakorn (Thailand)
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Abstract: The notion of rough sets was
introduced by Z. Pawlak in the year 1982. The notion of a G-semigroup was introduced by M. K.
Sen in the year 1981. In the year 2003, Young Bae Jun studied the roughness of
sub
G-semigroups, ideals and bi-ideals in
G-semigroups. The notions of
quasi-ideals for semigroups and rings were introduced by O. Steinfeld in the
year 1956 and 1953, respectively. The notion of quasi-ideals for G-semigroups was defined analogously.
In this paper, we study Q-lower and Q-upper rough quasi-ideals in G-semigroups. |
Keywords and phrases: congruences, G-semigroups, quasi-ideals, Q-lower rough quasi-ideals, Q-upper rough quasi-ideals.. |
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