On the ranges of algebraic functions on lattices

被引：0
|
作者：
Rudeanu S. [1 ]
Simovici D.A. [2 ]
机构：
[1] Faculty of Mathematics, University of Bucharest, Bucharest
[2] Dept. of Computer Science, University of Massachusetts Boston, Boston
来源：
Studia Logica | 2006年 / 84卷 / 3期
关键词：
Determination principle; Distributive lattice; Modular lattice; Łukasiewicz-Moisil algebras;
D O I：
10.1007/s11225-006-9017-6
中图分类号：
学科分类号：
摘要：
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. © Springer Science+Business Media, Inc. 2006.
引用
收藏
页码：451 / 468
页数：17
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