| Title:
|
On $L$-fuzzy ideals in semirings. II (English) |
| Author:
|
Neggers, J. |
| Author:
|
Jun, Young Bae |
| Author:
|
Kim, Hee Sik |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
127-133 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study some properties of $L$-fuzzy left (right) ideals of a semiring $R$ related to level left (right) ideals. (English) |
| Keyword:
|
semiring |
| Keyword:
|
$L$-fuzzy (characteristic) ideal |
| Keyword:
|
level subset |
| Keyword:
|
semiring order |
| Keyword:
|
order ideal |
| MSC:
|
04A72 |
| MSC:
|
16D25 |
| MSC:
|
16Y60 |
| idZBL:
|
Zbl 0954.16033 |
| idMR:
|
MR1676825 |
| . |
| Date available:
|
2009-09-24T10:20:42Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127473 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/127445 |
| . |
| Reference:
|
[1] P. J. Allen: A fundamental theorem of homomorphisms for semirings.Proc. Amer. Math. Soc. 21 (1969), 412–416. Zbl 0197.02902, MR 0237575, 10.1090/S0002-9939-1969-0237575-4 |
| Reference:
|
[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. MR 1658233, 10.1023/A:1022479320940 |
| Reference:
|
[3] Y. B. Jun, J. Neggers and H. S. Kim: Normal $L$-fuzzy ideals in semirings.Fuzzy Sets and Sys. 82 (1996), 383–386. MR 1409711 |
| Reference:
|
[4] J. Y. Kim, Y. B. Jun and H. S. Kim: $BCK$-algebras inherited from the posets.Math. Japonica 45 (1997), 119–123. MR 1434966 |
| Reference:
|
[5] H. S. Kim: On quotient semiring and extension of quotient halfring.Comm. Korean Math. Soc. 4 (1988), 17–22. |
| Reference:
|
[6] N. Kuroki: Fuzzy bi-ideals in semigroups.Comment. Math. Univ. St. Pauli. 28 (1979), 17–21. Zbl 0428.20041, MR 0579053 |
| Reference:
|
[7] Wang-Jin Liu: Operation on fuzzy ideals.Fuzzy Sets and Systems 8 (1983), 41–43. MR 0714623 |
| Reference:
|
[8] R. G. McLean and H. Kummer: Fuzzy ideals in semigroups.Fuzzy Sets and Systems 48 (1992), 137–140. MR 1172208, 10.1016/0165-0114(92)90258-6 |
| Reference:
|
[9] A. Rosenfeld: Fuzzy groups.J. Math. Anal. Appl. 35 (1971), 512–517. Zbl 0194.05501, MR 0280636, 10.1016/0022-247X(71)90199-5 |
| . |
