The structure of decomposable lattices determined by their prime ideals

Abstract

A distributive lattice $L$ with minimum element $0$ is called decomposable if $a$ and $b$ are not comparable elements in $L$ then there exist $\overline{a},\overline{b}\in L$ such that $a=\overline{a}\vee (a\wedge b),b=\overline{b}\vee (a\wedge b)$ and $\overline{a}\wedge \overline{b}=0$. The main purpose of this paper is to study the structure of decomposable lattices determined by their prime ideals. The properties for five special decomposable lattices are derived.

21 pages

References in corpus (1)

• Prime ideals in decomposable lattices

Cited by in corpus (1)

• Prime ideals in decomposable lattices