| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 390567 | Fuzzy Sets and Systems | 2009 | 8 Pages |
Abstract
Dvurečenskij and Hyčko recently proved that every interval of a bounded integral divisible residuated ℓ-monoid can be made into a bounded integral residuated ℓ-monoid. In this note we show that this construction essentially works in the more general setting of integral residuated ℓ-groupoids, and that divisibility is not only sufficient but also necessary.
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