Mackey Q-algebras

Mackey Q-algebra

Mati Abel

《Proceedings of the Estonian Academy of Sciences》 66卷1期 (2017/03) Pp. 40-53

https://doi.org/10.3176/proc.2017.1.05

摘要

Main properties of the topology defined by a bornology on a topological linear space and main properties of Mackey Q-algebras are presented. Relationships of Mackey Q-algebras with other classes of topological algebras are described. It is shown that every Mackey Q-algebra is an advertibly Mackey complete algebra, every strongly sequential Mackey Q-algebra is a Q-algebra, every infrasequential Mackey Q-algebra is an advertibly complete algebra, and every infrasequential advertive Hausdorff algebra is a Mackey Q-algebra.

關鍵字

topological algebra ； Mackey Q-algebra ； advertibly complete algebra ； advertibly Mackey complete algebra ； sequential algebra ； strongly sequential algebra ； netial algebra ； infrasequential algebra

並列摘要

On kirjeldatud bornoloogia abil defineeritud topoloogia ja Mackey Q-algebra pohiomadusi ning teiste topoloogiliste algebrate ja Mackey Q-algebrate vahelisi vahekordi.