Congruence-preserving Extensions of Finite Lattices to Sectionally Complemented Lattices

نویسنده

  • G. GRÄTZER
چکیده

In 1962, the authors proved that every finite distributive lattice can be represented as the congruence lattice of a finite sectionally complemented lattice. In 1992, M. Tischendorf verified that every finite lattice has a congruence-preserving extension to an atomistic lattice. In this paper, we bring these two results together. We prove that every finite lattice has a congruence-preserving extension to a finite sectionally complemented lattice.

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تاریخ انتشار 1997