摘要
给出了Quantale中(左,右)理想的概念,讨论了Quantale中任意子集生成的(左,右)理想的具体结构,研究了Quantale中的理想与它的格意义下理想之间的关系.得到了当Q是可换Quantale时,Id(Q)中元是幂等的充要条件.
A(left, right)ideal of the Quantale Q is introduced and the concrete structure of the (left, right)ideal generated by a given set is considered. The relation between the ideal of a Quantale Q and the ideal of the lattice Q is studied, A necessary and sufficient condition that a element of Id(Q) is idempotent is obtained, if the Quantale Q is commutative.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第4期7-10,共4页
Journal of Shaanxi Normal University：Natural Science Edition
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[2000]26号)
国家自然科学基金资助项目(10271069)
