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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제18권 제3호
- 발행연도
- 2019.1
- 수록면
- 233 - 243 (11page)
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In this paper, we introduce the concept of $d$-fuzzy ideals and injective fuzzy ideals in a distributive lattice with respect to derivation. It is proved that the set of all $d$-fuzzy ideals forms a distributive lattice. A set of equivalent conditions are derived for a derivation $d$ of $L$ to became injective. Moreover, we proved that the set of all injective fuzzy ideals forms a complete distributive lattice.
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참고문헌 (17)
참고문헌 신청
Berhanu Assaye Alaba / 2018 / Fuzzy annihilator ideals in distributive lattices / ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 16(2):191~200
Berhanu Assaye Alaba / 2019 / α-fuzzy ideals and space of prime α-fuzzy ideals in distributive lattices / ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 17(2):147~163
H. E. Bell / 1989 / Rings in which derivations satisfy certain algebraic conditions / Acta Math. Hungar 53(3-4):339~346
G. Birkho / 1967 / Lattice Theory / Amer. Math. Soc. Colloq XXV
L. Ferrari / 2001 / On derivations of lattices / Pure Mathematics and Applications 12(45):365~382
Berhanu Assaye Alaba / 2019 / α-fuzzy ideals and space of prime α-fuzzy ideals in distributive lattices / ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 17(2):147~163
H. E. Bell / 1989 / Rings in which derivations satisfy certain algebraic conditions / Acta Math. Hungar 53(3-4):339~346
G. Birkho / 1967 / Lattice Theory / Amer. Math. Soc. Colloq XXV
L. Ferrari / 2001 / On derivations of lattices / Pure Mathematics and Applications 12(45):365~382
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