Distributive pseudo-complemented lattices form an extensively studied class of distributive lattices. Examples are the lattice of all open sets of a topological space, the lattice of all ideals of a distributive lattice with zero and the lattice of all congruences of an arbitrary lattice. Lattice which are just pseudo-complemented have been studied in detail by J. Varlet [6], [7] where, however, the most interesting results require at least the assumption of modularity, sometimes distributivity.
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机译:分布伪互补格形成了广泛研究的一类分布格。例如,拓扑空间的所有开放集的格,具有零的分布格的所有理想的格和任意格的所有同余的格。 J. Varlet [6],[7]详细研究了只是伪补码的格,但是,最有趣的结果至少需要假设模块化,有时甚至是分布性。
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