引入了Frink代数偏序集的概念,讨论了它的一些性质,给出了它的若干刻画,特别地,证明了Frink代数偏序集的正规完备化δ(P)为代数格。
In this paper, the concept of Frink algebraic posets is introduced. Some properties of Frink algebraic posets are investigated. Several characterizations of Frink algebraic posets are obtained. Especially, it is proved that the normal completion δ(P) of a Frink algebraic poset P is an algebraic lattice.