No CrossRef data available.
Article contents
A classification of some thick subcategories in locally noetherian Grothendieck categories
Published online by Cambridge University Press: 23 November 2023
Abstract
Let $\mathcal{A}$ be a locally noetherian Grothendieck category. We classify all full subcategories of
$\mathcal{A}$ which are thick and closed under taking arbitrary direct sums and injective envelopes by injective spectrum. This result gives a generalization from the commutative noetherian ring to the locally noetherian Grothendieck category.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240226061058103-0453:S001708952300040X:S001708952300040X_inline333.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240226061058103-0453:S001708952300040X:S001708952300040X_inline334.png?pub-status=live)