Classifying subcategories, local algebra and the Rosenberg spectrum of a locally noetherian category

Abhishek Banerjee

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arXiv · 1710.08068

Classifying subcategories, local algebra and the Rosenberg spectrum of a locally noetherian category

Abhishek Banerjee

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Abstract

Let $\mathcal A$ be a locally noetherian Grothendieck category. In this paper, we study subcategories of $\mathcal A$ using subsets of the Rosenberg spectrum $\mathfrak Spec(\mathcal A)$. Along the way, we also develop results in local algebra with respect to the category $\mathcal A$ that we believe to be of independent interest.

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BibTeX RIS

Abhishek Banerjee. 2017-10-23. Classifying subcategories, local algebra and the Rosenberg spectrum of a locally noetherian category. https://arxiv.org/abs/1710.08068

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