关于环上的线性弱拓扑与对偶对
On the Linear Weak Topology and Dual Pairings over Rings
摘要：
本文研究了（不一定是交换的）基环上成对模上的弱拓扑。在QF环，我们能够恢复大多数的知名性质，这种拓扑结构的情况下，交换基字段。然后利用线性弱拓扑和稠密对的性质来刻画满足所谓的$α$ -条件的对.
英文摘要：
In this note we study the weak topology on paired modules over a (not necessarily commutative) ground ring. Over QF rings we are able to recover most of the well known properties of this topology in the case of commutative base fields. The properties of the linear weak topology and the dense pairings are then used to characterize pairings satisfying the so called $α$-condition.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
