Question

Show that every bounded chain is a stone algebra.

Answer 1

Answer:

The largest embedding stones under the subcategory of the stone algebra bonded with the chain. And the Morphisms of the dense set stored zero.

Explanation:

There is a triple lattice (B, D, p) where D is distributed lattice, B is Boolean algebra and p is bounded lattice.

D is very simple as compared to p which can be replaced from B. But p is surrounded with lattice which can create these triplets. The triple construction lands to the embedding stones under the subcategory of the stone algebra bonded with the chain.