ON PRIMARY LATTICES

Abstract

L$ are said to be independent, if $(x_{1^{\cup}}x_{1}\cdots\cdot\cdot x_{i-1}\cdot x_{i+1}\cdots\cdot\cdot x_{\lambda})_{\cap}x_{\grave{l}}$ $=0,$ $i=1,2,$ $\cdots\lambda$ , hold. $\cdot\cdot$ Lmma 1. $IJ^{\alpha}(x\cdot y)\cap z\leqq x$ in a modular lattice, then $(x\cdot z)\cap y$ $=x_{\cap}y$ .