摘要
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I(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PI(M)上构造了拓扑,证明了PI(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.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第1期12-15,共4页
Journal of Fujian Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(10471083)
陕西师范大学重点科研基金资助项目(995130)
