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

@inproceedings{Grtzer2010TheSO,
  title={The Structure of Pseudocomplemented Distributive Lattices . Ii : Congruence Extension and Amalgamation},
  author={George Gr{\"a}tzer and Harry Lakser},
  year={2010}
}
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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References

Publications referenced by this paper.
Showing 1-6 of 6 references

Universal algebra, Van Nostrand, Princeton, N

  • G. Grätzer
  • J.,
  • 1968
Highly Influential
3 Excerpts

The structure of pseudocomplemented distributive lattices

  • H. Lakser
  • I : Subdirect decomposition, Trans. Amer. Math…
  • 1971
2 Excerpts

Equational classes of distributive pseudo-complemented lattices, Canad

  • K. B. Lee
  • J. Math
  • 1970
1 Excerpt

The algebraic theory of semigroups

  • A. H. Clifford, G. B. Preston
  • Vol. II, Math. Surveys, no. 7, Amer. Math. Soc…
  • 1967
1 Excerpt

On some operations on classes of algebras

  • D. Pigozzi
  • Notices Amer. Math. Soc
  • 1966
1 Excerpt

Extensions of relational structures, Proc

  • B. Jónsson
  • Internat. Sympos. Theory of Models (Berkeley…
  • 1965
1 Excerpt

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