Young Bae Jun, Dept. of Mathematics Education, Gyeongsang National University, Chinju, 660-701, Korea, email: firstname.lastname@example.org; J. Neggers Dept. of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U.S.A., email: email@example.com; Hee Sik Kim, Dept. of Mathematics Education, Chungbuk National University, Chongju, 360-763, Korea, email: firstname.lastname@example.org
Abstract: In this paper we extend the concept of an $L$-fuzzy (characteristic) left (resp. right) ideal of a ring to a semiring $R$, and we show that each level left (resp. right) ideal of an $L$-fuzzy left (resp. right) ideal $\mu$ of $R$ is characteristic iff $\mu$ is $L$-fuzzy characteristic.
Keywords: semiring, $L$-fuzzy (characteristic) ideal, level ideal
Classification (MSC 1991): 16Y60, 04A72
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