Pacific Journal of Mathematics

Embedding lattices into lattices of ideals.

G. Grätzer, C. R. Platt, and B. Sands

Article information

Source
Pacific J. Math., Volume 85, Number 1 (1979), 65-75.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102784082

Mathematical Reviews number (MathSciNet)
MR571627

Zentralblatt MATH identifier
0424.06005

Subjects
Primary: 06B10: Ideals, congruence relations

Citation

Grätzer, G.; Platt, C. R.; Sands, B. Embedding lattices into lattices of ideals. Pacific J. Math. 85 (1979), no. 1, 65--75. https://projecteuclid.org/euclid.pjm/1102784082


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References

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  • [2] K. A. Baker and A. W. Hales, From a lattice to its ideal lattice, Algebra Uni- versalis, 4 (1974), 250-258.
  • [3] A. Day, A simple solution to the word problem for lattices, Canad. Math. Bull., 13 (1970), 253-254.
  • [4] A. Day,Splitting lattices generate all lattices, Algebra Universalis, 7 (1977), 163-169.
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  • [6] G. Gratzer, Universal Algebra in Trends in Lattice Theory, 173-215. New York, Van Nostrand Reinhold, 1970. 7# fA property of transferablelattices, Proc. Amer. Math. Soc, 43 (1974), 269-271.
  • [8] G. Gratzer and C. R. Platt, Ttvo embedding theorems for lattices, Proc. Amer. Math. Soc, 69 (1978), 21-24.
  • [9] T. G. Kucera and B. Sands, Lattices of lattice homomorphisms, Algebra Universalis. 8 (1978), 180-190.
  • [10] P. M. Whitman, Lattices, equivalence relations, and subgroups. Bull. Amer. Math. Soc, 52 (1946), 507-522.