Doubling convex sets in lattices and a generalized semidistributivity condition
Doubling convex sets in lattices and a generalized semidistributivity condition
复制标题
格子中的加倍凸集和广义半分布条件
作者：
A. Day;J. B. Nation;S. Tschantz
格的一个有用的构造是加倍格L的凸子集I，即，I乘I ×2。结果表明，该构造保持了广义半分配性条件（C）。所有格都满足（C）的格的变种可以用等式来刻画。
A useful construction for lattices is doubling a convex subsetI of a latticeL, i.e., replacingI byI×2. It is shown that this construction preserves a generalized semidistributivity condition (C). Varieties of lattices in which every lattice satisfies (C) are characterized equationally.