稳定根格和线性半素(p∶q)根格的原子

ATOMS OF LATTICES OF STABLE RADICALS AND OF LINEAR SEMIPRIME (p:q) RADICALS

本文讨论了稳定根格以及线性半素(p:q)根格的原子的一些问题.证明了线性半素(p:q)根格是原子格,它的每一个原子的形式是(px+1:1).这里p是一个素数.

This paper discussed some problems of atoms of lattices of stable radicals and 1inear semiprime (p:q) radicals and prove that the latlice of linear semiprime (p:q) radicals is atomic. Its every atom is a radical of the form (px+1:1), where p is a prime.