Lingfeng Cai

Core Label Orders of the Lattices W(m,n)

We determine the core label orders of the lattices W(m,n). Although these orders cease to be join-semilattices when m ≥ 2 and n > 0, every interval admits an explicit product decomposition into a Boolean lattice and one-letter shuffle lattices. The decomposition follows from a te...

Core Label Orders of the Lattices W(m,n)

We determine the core label orders of the lattices W(m,n). Although these orders cease to be join-semilattices when m ≥ 2 and n > 0, every interval admits an explicit product decomposition into a Boolean lattice and one-letter shuffle lattices. The decomposition follows from a te...