Name
Abstract | ||
|---|---|---|
We show that a finite-valued fractionary fuzzy ideal of R with invertible level ideals has a finite minimal generating set las a fuzzy R-submodule). We also characterize Dedekind domains in terms of the factorization of fuzzy ideals as products of prime fuzzy ideals and also in terms of the invertibility of certain fractionary fuzzy ideals. We also examine the factorization of fractionary fuzzy ideals. (C) 1998 Elsevier Science B.V. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1016/S0165-0114(97)00012-2 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
algebra,Dedekind domain,fuzzy submodule,fuzzy ideal,prime fuzzy ideal,maximal fuzzy ideal,fractionary fuzzy ideal,invertible fractionary fuzzy ideal | Prime (order theory),Discrete mathematics,Fractional ideal,Fuzzy logic,Fuzzy set,Factorization,Mathematics,Number theory,Dedekind cut,Dedekind domain | Journal |
Volume | Issue | ISSN |
99 | 1 | 0165-0114 |
Citations | PageRank | References |
5 | 1.24 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kyoung Hee Lee | 1 | 64 | 5.54 |
| John N. Mordeson | 2 | 302 | 57.25 |