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ON L-FUZZY SEMI-PRIME IDEALS OF A POSET AND SEPARATION THEOREMS

Derso Abeje Engidaw|Tilahun Bimerew Alemu
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.06|한국수학논문집 (Korean Journal of Mathematics)|제29권 제2호|pp. 305-320

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참고문헌

키워드

PosetPrime IdealSemiprime IdealL-Fuzzy prime IdealL-fuzzy Semiprime Ideal
주제분류수학

초록

In this paper, the relations between L-fuzzy semi-prime (respectively, L-fuzzy prime) ideals of a poset and L-fuzzy semi-prime (respectively, L-fuzzy prime) ideals of the lattice of all ideals of a poset are established. A result analogous to Separation Theorem is obtained using L-fuzzy semi-prime ideals.

Abstract

In this paper, the relations between L-fuzzy semi-prime (respectively, L-fuzzy prime) ideals of a poset and L-fuzzy semi-prime (respectively, L-fuzzy prime) ideals of the lattice of all ideals of a poset are established. A result analogous to Separation Theorem is obtained using L-fuzzy semi-prime ideals.

참고문헌 (38)

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