Pacific Journal of Mathematics

On the endomorphism semigroup (and category) of bounded lattices.

G. Grätzer and J. Sichler

Article information

Source
Pacific J. Math., Volume 35, Number 3 (1970), 639-647.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102971480

Mathematical Reviews number (MathSciNet)
MR0277442

Zentralblatt MATH identifier
0208.02602

Subjects
Primary: 06.30
Secondary: 20.00

Citation

Grätzer, G.; Sichler, J. On the endomorphism semigroup (and category) of bounded lattices. Pacific J. Math. 35 (1970), no. 3, 639--647. https://projecteuclid.org/euclid.pjm/1102971480


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References

  • [1] C. C. Chen and G. Gratzer, On the construction of complemented lattices, J. Algebra 11 (1969), 56-63.
  • [2] G. Gratzer,Universal Algebra, The University Series in Higher Mathematics. D. Van Nostrand Co. Inc., Princeton, N. J., 1968.
  • [3] G. Gratzer, Lectures on Lattice Theory, Vol. 1., W. H. Freeman and Company, San Francisco, Calif, (to appear in 1971).
  • [4] G. Gratzer, A reduced free product of lattices, Fund. Math, (to appear).
  • [5] Z. Hedrln and J. Lambek, How comprehensive is the category of semigroups? J. Alg. 11 (1969), 195-212.
  • [6] Z. Hedrln and R. H. McDowell, Partly ordered sets with given monoid of order- preserving map (to appear).
  • [7] Z. Hedrln and A. Pultr, Relations(graphs) withgiven infinitesemigroups, Monatsh. Math. 68 (1964), 421-425.
  • [8] Z. Hedrln and A. Pultr, On full embeddings of categories of algebras, Illinois J. Math. 10 (1966), 392-406.
  • [9] Z. Hedrln and J. Sichler, Any boundable binding category contains a proper class of mutually disjoint copies of itself (to appear).
  • [10] R. McKenzie and J. Sichler, Endomorphisms of finite complemented lattices and of lattices of finite length (to appear).
  • [11] J. Sichler, Every monoid is isomorphic to the monoid of all non-constant endo- morphisms of a lattice (to appear).