Boolean Lifting Properties for Bounded Distributive Lattices

Scientific Annals of Computer Science

article

D. Cheptea¹  G. Georgescu¹  Claudia MURES¸AN¹ 

[1] University of Bucharest, Faculty of Mathematics and Computer Science

关键词: (Boolean) Lifting Property;    (B–normal;    B–conormal;    Filt– local;    Id–local) bounded distributive lattice;    Boolean center;    congruence;    filter;    ideal;    radical;   

DOI  :  10.7561/SACS.2015.1.29

来源: Alexandru Ioan Cuza University of Iasi

【 摘 要 】

In this paper, we introduce the lifting properties for the Boolean elements of bounded distributive lattices with respect to the congruences, filters and ideals, we establish how they relate to each other and to significant algebraic properties, and we determine important classes of bounded distributive lattices which satisfy these lifting properties.

【 授权许可】

CC BY-ND