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Ideals and filters of pseudo-complemented semilattices

Published online by Cambridge University Press:  20 January 2009

T. S. Blyth
T. S. Blyth
Affiliation:
Mathematical InstituteUniversity of St Andrews
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W. H. Cornish (2) has investigated congruences on pseudo-complemented distributive lattices and has identified those ideals (resp. filters) that are congruence kernels (resp. cokernels). In this paper we show that many of the principal results concerning congruence kernels and cokernels hold in a semilattice and therefore do not depend on distributivity, nor on the existence of unions.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 3 , October 1980 , pp. 301 - 316
Copyright
Copyright © Edinburgh Mathematical Society 1980

References

REFERENCES

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(4)Nemitz, W. C., Implicative semilattices, Trans. Amer. Math. Soc. 117 (1965), 128–142.CrossRefGoogle Scholar