格序环的诣零l－理想的幂零性

The Nilpotency of Nil l- ideals of Lattice- ordered Rings

主要研究结果为：证明了格序环的任一诣零单侧ｌ－理想所生成的ｌ－理想是诣零的；

This paper is to show some sufficient conditions of a nil I - ideal of a lattice-ordered ring heing nilpotent,from these results we know that the results of G. Birkhoff and R.S. Pierce are only our corollaries.Also we prove that the l-ideal generated by nil one-sided l-ideal is nil.