ESTONIAN ACADEMY
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eesti teaduste
akadeemia kirjastus
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SINCE 1952
 
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proceedings
of the estonian academy of sciences
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Mackey Q-algebras; pp. 40–53

Full article in PDF format | https://doi.org/10.3176/proc.2017.1.05

Author
Mati Abel

Abstract

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.


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