有限维代数上的拓扑结构及其完备化
Topological Structures and Their Completions on Finite-dimensional Algebras
摘要
本文以拓扑Abel群的完备化为基础,定义了拓扑$k$-代数及其完备化,并从射影极限的角度对完备化的进行了代数解释。Abstract
This article is based on the completion of topological Abel groups, introducts topological $k$-algebras and their completions, and provides an algebraic explanation of the completion by projective limits. 关键词
代数表示理论/Abel群/归纳极限/射影极限Key words
Representation theory of algebras/ Abel group/ inductive limits/ projective limits引用本文复制引用
刘雨喆.有限维代数上的拓扑结构及其完备化[EB/OL].(2024-11-20)[2025-12-17].http://www.paper.edu.cn/releasepaper/content/202411-41.学科分类
数学
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