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有限维代数上的拓扑结构及其完备化

opological Structures and Their Completions on Finite-dimensional Algebras

中文摘要英文摘要

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。

his 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.

刘雨喆

数理科学

代数表示理论Abel群归纳极限射影极限

Representation theory of algebras Abel group inductive limits projective limits

刘雨喆.有限维代数上的拓扑结构及其完备化[EB/OL].(2024-11-20)[2024-11-21].http://www.paper.edu.cn/releasepaper/content/202411-41.点此复制

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