The ideal lattice of a distributive lattice with 0 is the congruence lattice of a lattice

Schmidt, E. T. (1981). The ideal lattice of a distributive lattice with 0 is the congruence lattice of a lattice. Acta Scientiarum Mathematicarum.

Type

Book chapter

Intellectual base

Review or monograph

Year

1981

Pages cited

153-168

Link

https://acta.bibl.u-szeged.hu/38622/1/math_043_fasc_001_002.pdf

Cited by

3 citations across 3 artifacts.

Domain-specific

• Distributive congruence
  • The 1981 Definition 3 describes a join of weak-distributive monomial congruences, including the qualifier.
• Monomial congruence
  • The 1981 paper gives a separate monomial-congruence join formulation qualified by weak distributivity.
• Weakly distributive homomorphism
  • Schmidt's earlier formulation and later monomial-congruence work have different definitions and qualifications, so their labels cannot substitute for the quantified map test.

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