论J(α)(M(α))-模格和D(α)(J(α),M(α))-分配格

ON J(α)(M(α))-MODULAR LATTICES AND D(α)(J(α),M(α))-DISTRIBUTIVE LATTICES

定义了J(α)(M(α))-模格和D(α)(J(α),M(α))-分配格,证明了它们的某些基本性质.由对这些格类的研究可以得到和推出一般格具有的在点局部上的与模格或分配格有密切关系的结果.

J(α)(M(α))-modular lattices and D(α)(J(α),M(α))-distributive lattices are defined,and their basic properties are proved.From the researches into these new lattice classes,the results have been obtained that general lattices are closely relative to the modular lattices or distributive lattices in point or local properties.