ON THE ORDERED n-PRIME IDEALS IN ORDERED Γ-SEMIGROUPS
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초록
The motivation mainly comes from the conditions of the (or-dered) ideals to be prime or semiprime that are of importance and interestin (ordered) semigroups and in (ordered) Γ-semigroups. In 1981, Sen [8]has introduced the concept of the Γ-semigroups. We can see that anysemigroup can be considered as a Γ-semigroup. The concept of orderedideal extensions in ordered Γ-semigroups was introduced in 2007 by Sirip-itukdet and Iampan [12]. Our purpose in this paper is to introduce theconcepts of the orderedn-prime ideals and the ordered n-semiprime idealsin ordered Γ-semigroups and to characterize the relationship between theordered n-prime ideals and the ordered ideal extensions in ordered Γ-semigroups.
Abstract
The motivation mainly comes from the conditions of the (or-dered) ideals to be prime or semiprime that are of importance and interestin (ordered) semigroups and in (ordered) Γ-semigroups. In 1981, Sen [8]has introduced the concept of the Γ-semigroups. We can see that anysemigroup can be considered as a Γ-semigroup. The concept of orderedideal extensions in ordered Γ-semigroups was introduced in 2007 by Sirip-itukdet and Iampan [12]. Our purpose in this paper is to introduce theconcepts of the orderedn-prime ideals and the ordered n-semiprime idealsin ordered Γ-semigroups and to characterize the relationship between theordered n-prime ideals and the ordered ideal extensions in ordered Γ-semigroups.
참고문헌 (12)
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