On the ranges of algebraic functions on lattices

Studia Logica 84 (3):451 - 468 (2006)
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.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
Categories (categorize this paper)
Reprint years 2007
DOI 10.1007/s11225-006-9017-6
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,133
Through your library
References found in this work BETA
Lattice Theory.Garrett Birkhoff - 1940 - Journal of Symbolic Logic 5 (4):155-157.
Universal Algebra.George Grätzer - 1982 - Studia Logica 41 (4):430-431.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Added to PP index

Total downloads
22 ( #233,138 of 2,191,808 )

Recent downloads (6 months)
1 ( #290,783 of 2,191,808 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature