Name
Abstract | ||
|---|---|---|
We present a stronger variation of state MV-algebras, recently presented by T. Flaminio and F. Montagna, which we call state-morphism MV-algebras. Such structures are MV-algebras with an internal notion, a state-morphism operator. We describe the categorical equivalences of such (state-morphism) state MV-algebras with the category of unital Abelian ℓ -groups with a fixed state operator and present their basic properties. In addition, in contrast to state MV-algebras, we are able to describe all subdirectly irreducible state-morphism MV-algebras. |
Year | Venue | Keywords |
|---|---|---|
2009 | International Journal of Approximate Reasoning | mv-algebra,06d35,state-morphism mv-algebra,state,state mv-algebra,state-morphism,03b50,extremal state,03g12,algebraic variety |
Field | DocType | Citations |
Discrete mathematics,Algebra,Quasi-finite morphism,MV-algebra,Subdirectly irreducible algebra,Coimage,Mathematics,Morphism | Journal | 9 |
PageRank | References | Authors |
0.84 | 8 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| anatolij dvurecenskij | 1 | 9 | 0.84 |
| Tomasz Kowalski | 2 | 124 | 24.06 |
| Franco Montagna | 3 | 1037 | 96.20 |