讨论了R0代数中理想、素理想的基本性质,在R0代数M的全体理想集F(M)上定义了格运算,证明了如此定义的格是有界分配格.在M的全体素理想之集多Y.F(M)上构造了拓扑,证明了Y.F(M)是紧致的T0空间.
Some basic properties of ideals and prime ideals in R0 -algebra are discussed. The lattice operations are defined on the set of all ideals in R0 -algebra M. The ideal lattice defined as above is bounded and distributive. The topological structure on the set of all prime ideals are introduced. It is proved that the set of all prime ideals is a compact To topological space.