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

2017/10/22 by Abhishek Banerjee, Banerjee, Abhishek
Mathematics · #16D90 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1710.08068

openalex publication_date 2017/10/22 · openalex created_date 2023/02/24 · openalex updated_date 2026/07/28

Abstract

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

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