格序环的一个根的结构

On the Structure of a Radical of Lattice Ordered Rings

从不同角度刻画了格序环Ｒ的Ｐ－根和ｌ－Ｂ根，并对ｌ－Ｑ根环进行了讨论．揭示了Ｒ及Ｒ上的全矩阵环Ｒｎ的ｌ－Ｑ根，ｌ－Ｑ理想，素ｌ－理想，半素ｌ－理想之间的关系．

We describe the P-radical and the l B radical of an l ring from a different angle and obtain the structure theorem of l Qsemisimple rings. Furthermore, l Q radical rings are discussed. Lastly, we consider the l Q radical Q(R n) of a full l matrix l ring R n over an l ring R. We show that Q(R n)=(Q(R)) n.