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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.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust