Sie können Bookmarks mittels Listen verwalten, loggen Sie sich dafür bitte in Ihr SLUB Benutzerkonto ein.
Medientyp:
E-Artikel
Titel:
On the Ranges of Algebraic Functions on Lattices
Beteiligte:
Rudeanu, Sergiu;
Simovici, Dan A.
Erschienen:
Springer, 2006
Erschienen in:
Studia Logica: An International Journal for Symbolic Logic, 84 (2006) 3, Seite 451-468
Sprache:
Englisch
ISSN:
0039-3215;
1572-8730
Entstehung:
Anmerkungen:
Beschreibung:
We study ranges of algebraic functions in lattices and in algebras, such as Łukasiewicz-Moisil algebras which are obtained by extending standard lattice signatures with unary operations. We characterize algebraic functions in such lattices having intervals as their ranges and we show that in Artinian or Noetherian lattices the requirement that every algebraic function has an interval as its range implies the distributivity of the lattice.