Skip to main content
Log in

A characterisation of standard ideals

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Bibliography

  1. G. Birkhoff, Lattice theory,Amer. Math. Soc. Coll. Publ.,25 (New York, 1948).

  2. R. P. Dilworth, The structure of relatively complemented lattices,Annals of Math.,51 (1950), pp. 348–359.

    Google Scholar 

  3. N. Funayama andT. Nakayama, On the distributivity of a lattice of lattice-congruences.Proc. Imp. Acad. Tokyo,18 (1942), pp. 553–554.

    Google Scholar 

  4. G. Grātzer andE. T. Schmidt, Ideals and congruence relations in lattices.Acta Math. Acad. Sci. Hung.,9 (1958), pp. 137–175.

    Google Scholar 

  5. G. Grātzer andE. T. Schmidt, Standard ideals in lattices,Acta Math. Acad. Sci. Hung.,12 (1961), pp. 17–86.

    Google Scholar 

  6. P. R. Halmos,Introduction to Hilbert space and the theory of spectral multiplicity (New York, 1957).

  7. F. Maeda,Kontinuierlichen Geometrien (Berlin, 1958).

  8. O. Ore, Theory of equivalence relations,Duke Math. Journal,9 (1942), pp. 573–627.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by the National Science Foundation, Grant GP-1816.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Janowitz, M.F. A characterisation of standard ideals. Acta Mathematica Academiae Scientiarum Hungaricae 16, 289–301 (1965). https://doi.org/10.1007/BF01904837

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01904837

Navigation