Chain conditions in the distributive free product of lattices
George Grätzer, H. Lakser · Transactions of the American Mathematical Society · 1969
A typical result of this paper is the following.Let Lt, i e I be distributive lattices satisfying the countable chain condition.Then the free product L of these lattices also satisfies the countable chain condition.To be able to state the general result we need some notations.Let trt be an infinite cardinal.A poset (partially ordered set) P is said to satisfy the m-chain condition if every chain in P has cardinality l, and an infinite cardinal m we define condition