摘要
本文把Quantale中的序结构与代数运算&结合在一起给出了Quantale中素理想和弱素理想的概念。讨论了它们之间的关系,得到了Quantale中理想是(弱)素理想的充要条件。
In this paper, a prime ideal and a weakly prime ideal of a quantale are defined. The relation between them is discussed. A necessary and sufficient condition under which a ideal of a quantale is (weakly) prime is obtained. At last we get that some conclusion concerning ordered semigroup still (hold) for a (weakly) prime ideal of a quantale.
出处
《模糊系统与数学》
CSCD
北大核心
2005年第1期78-81,共4页
Fuzzy Systems and Mathematics
基金
高等学校优秀青年教师教学科研奖励计划资助项目 (教人司 [2 0 0 0 ]2 6 )
国家自然科学基金资助项目 (10 4 710 83)
