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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 제20권 제3호
- 발행연도
- 2020.1
- 수록면
- 223 - 234 (12page)
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Let $R$ be a commutative ring and $B$ be an intuitionistic fuzzy submodule (IFSM) of an $R$-module $M$. Then an IFSM $A$ of $M$ is called $B$-essential in $M$ provided for each IFSM $C$ of $M$, $A \cap C \subseteq B$ implies that $C \subseteq B$. Further, for IFSMs $A, B, C$ of $M$, the IFSM $C$ is called $B$-complement to $A$ if $C$ is maximal with respect to the property that $A\cap C \subseteq B$. We study these mentioned notations which are generalization of the intuitionistic fuzzy essential (compliment) submodules, introduced by Basnet in [5]. Here we shall study some related results.
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참고문헌 (15)
참고문헌 신청
E. A. Al-Dhaheri / 2018 / On Essential (Complement) Submodules with Respect to an Arbitrary Submodule / Iraqi Journal of Science 59(2B):904~908
F. W. Anderson / 1992 / Rings and Categories of Modules / Springer Verlag
K. T. Atanassov / 1986 / Intuitionistic fuzzy sets / Fuzzy Sets and Systems 20:87~96
K. T. Atanassov / 1999 / Studies on Fuzziness and Soft Computing, 35 / Physica-Verlag
D. K. Basnet / Topics in intuitionistic fuzzy algebra / Lambert Academis Publishing
F. W. Anderson / 1992 / Rings and Categories of Modules / Springer Verlag
K. T. Atanassov / 1986 / Intuitionistic fuzzy sets / Fuzzy Sets and Systems 20:87~96
K. T. Atanassov / 1999 / Studies on Fuzziness and Soft Computing, 35 / Physica-Verlag
D. K. Basnet / Topics in intuitionistic fuzzy algebra / Lambert Academis Publishing
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