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ON THE ORDERED n-PRIME IDEALS IN ORDERED Γ-SEMIGROUPS
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 Title & Authors
ON THE ORDERED n-PRIME IDEALS IN ORDERED Γ-SEMIGROUPS
Siripitukdet, Manoj; Iampan, Aiyared;
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 Abstract
The motivation mainly comes from the conditions of the (ordered) ideals to be prime or semiprime that are of importance and interest in (ordered) semigroups and in (ordered) -semigroups. In 1981, Sen [8] has introduced the concept of the -semigroups. We can see that any semigroup can be considered as a -semigroup. The concept of ordered ideal extensions in ordered -semigroups was introduced in 2007 by Siripitukdet and Iampan [12]. Our purpose in this paper is to introduce the concepts of the ordered n-prime ideals and the ordered n-semiprime ideals in ordered -semigroups and to characterize the relationship between the ordered n-prime ideals and the ordered ideal extensions in ordered -semigroups.
 Keywords
(ordered) semigroup;(ordered) -semigroup;(ordered) ideal;ordered ideal extension;(ordered) prime ideal;(ordered) semiprime ideal;ordered n-prime ideal and ordered n-semiprime ideal;
 Language
English
 Cited by
1.
ROUGH PRIME IDEALS AND ROUGH FUZZY PRIME IDEALS IN GAMMA-SEMIGROUPS,;

대한수학회논문집, 2009. vol.24. 3, pp.341-351 crossref(new window)
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M. Siripitukdet and A. Iampan, On ordered ideal extensions in po-$\Gamma$-semigroups, Southeast Asian Bulletin of Mathematics, (to appear)