The Structure of Pseudocomplemented Distributive Lattices . Ii : Congruence Extension and Amalgamation

  title={The Structure of Pseudocomplemented Distributive Lattices . Ii : Congruence Extension and Amalgamation},
  author={George Gr{\"a}tzer and Harry Lakser},
This paper continues the examination of the structure of pseudocomplemented distributive lattices. First, the Congruence Extension Property is proved. This is then applied to examine properties of the equational classes ¿Sn, — lá«So), which is a complete list of all the equational classes of pseudocomplemented distributive lattices (see Part I). The standard semigroups (i.e., the semigroup generated by the operators H, S, and P) are described. The Amalgamation Property is shown to hold iff «¿2… CONTINUE READING
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