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Open AccessArticle

Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups

Department of Mathematics, Faculty of Science, Jan Evangelista Purkyně University, České mládeže 8, 400 96 Ústí nad Labem, Czech Republic
Axioms 2019, 8(3), 85; https://doi.org/10.3390/axioms8030085
Received: 29 June 2019 / Revised: 21 July 2019 / Accepted: 22 July 2019 / Published: 24 July 2019
(This article belongs to the Collection Topological Groups)
Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that the A -reflection of the discrete group of integers is a finite cyclic group, the group of integers with a topology that is not T 0 , or the group of integers with the topology generated by its subgroups of the form p n , where n N , p P and P is a given set of prime numbers. View Full-Text
Keywords: semitopological group; abelian group; coreflective subcategory; hereditary subcategory semitopological group; abelian group; coreflective subcategory; hereditary subcategory
MDPI and ACS Style

Pitrová, V. Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups. Axioms 2019, 8, 85.

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