Finite distributive lattices are congruence lattices of almost- geometric lattices

نویسندگان

  • Gábor Czédli
  • Tamás Schmidt
چکیده

A semimodular lattice L of finite length will be called an almost-geometric lattice, if the order J(L) of its nonzero join-irreducible elements is a cardinal sum of at most two-element chains. We prove that each finite distributive lattice is isomorphic to the lattice of congruences of a finite almost-geometric lattice.

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تاریخ انتشار 2008