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On \(L\)-fuzzy ideals in semirings. II. (English) Zbl 0954.16033
[For part I see the preceding review Zbl 0954.16032.]
Summary: The authors study some properties of \(L\)-fuzzy left (right) ideals of a semiring \(R\) related to level left (right) ideals.

16Y60 Semirings
16D25 Ideals in associative algebras
03E72 Theory of fuzzy sets, etc.
Full Text: DOI EuDML
[1] P. J. Allen: A fundamental theorem of homomorphisms for semirings. Proc. Amer. Math. Soc. 21 (1969), 412-416. · Zbl 0197.02902
[2] Y. B. Jun, J. Neggers and H. S. Kim: On \(L\)-fuzzy ideals in semirings I. Czechoslovak Math. J. 48(123) (1998), 669-675. · Zbl 0954.16032
[3] Y. B. Jun, J. Neggers and H. S. Kim: Normal \(L\)-fuzzy ideals in semirings. Fuzzy Sets and Sys. 82 (1996), 383-386. · Zbl 0878.16023
[4] J. Y. Kim, Y. B. Jun and H. S. Kim: \(BCK\)-algebras inherited from the posets. Math. Japonica 45 (1997), 119-123. · Zbl 0864.06011
[5] H. S. Kim: On quotient semiring and extension of quotient halfring. Comm. Korean Math. Soc. 4 (1988), 17-22. · Zbl 1273.16051
[6] N. Kuroki: Fuzzy bi-ideals in semigroups. Comment. Math. Univ. St. Pauli. 28 (1979), 17-21. · Zbl 0428.20041
[7] Wang-Jin Liu: Operation on fuzzy ideals. Fuzzy Sets and Systems 8 (1983), 41-43. · Zbl 0522.06013
[8] R. G. McLean and H. Kummer: Fuzzy ideals in semigroups. Fuzzy Sets and Systems 48 (1992), 137-140. · Zbl 0768.20028
[9] A. Rosenfeld: Fuzzy groups. J. Math. Anal. Appl. 35 (1971), 512-517. · Zbl 0194.05501
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