MathDB
Miklos Schweitzer 1978_2

Source: distributive lattice

January 25, 2009
abstract algebrasuperior algebrasuperior algebra unsolved

Problem Statement

For a distributive lattice L L, consider the following two statements: (A) Every ideal of L L is the kernel of at least two different homomorphisms. (B) L L contains no maximal ideal. Which one of these statements implies the other? (Every homomorphism φ \varphi of L L induces an equivalence relation on L L: a∼b a \sim b if and only if a \varphi\equal{}b \varphi. We do not consider two homomorphisms different if they imply the same equivalence relation.) J. Varlet, E. Fried
Back to ProblemsView on AoPS