Name
Abstract | ||
|---|---|---|
In this paper, conditions are given on residuated lattices and on Girard algebras in order for them to be generalized effect algebras and effect algebras, respectively. A new class of such ''effectible'' residuated lattices essentially enlarging MV-algebras is defined. Of particular interest are ''pre-radicable'' residuated lattices having all ''n-th roots'' generalizing Hohle's square roots to an arbitrary order n. The existence of ''partial''n-th roots on effectible residuated lattices and Girard algebras is related with the concept of divisible effect algebras. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.fss.2009.12.009 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
partial n -th root,radicable residuated lattice,generalizing hohle,residuated lattice,divisible effect algebra,new class,effectible girard algebra,generalized effect algebra,pre-radicable residuated lattice,arbitrary order n,n -th root,effect algebra,reflective residuated lattice,effectible residuated lattice,girard algebra,n-th root | Discrete mathematics,Algebra,Lattice (order),Generalization,Pure mathematics,Fuzzy set,Square root,Mathematics | Journal |
Volume | Issue | ISSN |
161 | 12 | Fuzzy Sets and Systems |
Citations | PageRank | References |
1 | 0.38 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Remigijus Petras Gylys | 1 | 1 | 0.72 |