On functions and equations in distributive lattices

Sergiu Rudeanu · Proceedings of the Edinburgh Mathematical Society · 1968

Summary In [1], R. L. Goodstein has extended some well-known theorems on functions and equations in a Boolean algebra to the case of a distributive lattice L with 0 and 1. The purpose of this paper is to prove that most of Goodstein's theorems, as well as some additional results, are still valid in the case when L is not required to have least and greatest elements.

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