关于格序群的理想根

On the Ideal-Radical of a Lattice-Order Group

Paul conrad 在研究格群的完全分配性时,引入了理想根的概念,本文详细讨论了理想根的性质,得出的主要结果是:(1),若a为格群G的本质元,则a亦为任何包含a的l-理想的本质元:

In this Paper,I discussed the basic properties of the radical of 1-ideals,the main results are as follows1,(Theorem2) If o≠=a C G is essential in G,then it is also essential in S,where a S and S is an L-ideal of G.2,(Theorem 4) R(S)=R(G)∩S,where S is an 1-ideal of 1-group G.