A Note on Regular Objects in Grothendieck Categories

A Note on Regular Objects in Grothendieck Categories

We study relative regular objects with respect to a generator in a Grothendieck category which is not necessarily locally finitely generated. Using the Gabriel–Popescu Theorem, we extend results known for regular modules.

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Veröffentlicht in:Arabian Journal for Science and Engineering 2011-10, Vol.36 (6), p.957-962
Hauptverfasser: Dăscălescu, S., Năstăsescu, C., Tudorache, A.
Format: Artikel
Sprache:eng
Schlagworte:
Engineering
Humanities and Social Sciences
multidisciplinary
Research Article - Mathematics
Science
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Zusammenfassung:We study relative regular objects with respect to a generator in a Grothendieck category which is not necessarily locally finitely generated. Using the Gabriel–Popescu Theorem, we extend results known for regular modules.
ISSN:1319-8025
2191-4281
DOI:10.1007/s13369-011-0098-9