Spectra of tensor triangulated categories over a category algebra -- a new approach

DOI10.1007/S10485-021-09648-8zbMath1480.18013OpenAlexW3164480872MaRDI QIDQ825990

Yaohua Zhang

Publication date: 18 December 2021

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-021-09648-8

zbMATH Keywords

singularity categorytensor triangulated categorysemi-orthogonal decompositiontriangular spectrumcategory algebrafinite EI category

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representations of associative Artinian rings (16G10) Localization of categories, calculus of fractions (18E35) Derived categories and associative algebras (16E35) Derived categories, triangulated categories (18G80)

Cites Work

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• Spectra of tensor triangulated categories over category algebras
• The spectrum of the equivariant stable homotopy category of a finite group
• Stratifying derived module categories
• Gorenstein triangular matrix rings and category algebras.
• \(\Pi\)-supports for modules for finite group schemes.
• The Balmer spectrum of the equivariant homotopy category of a finite abelian group
• The spectrum of the singularity category of a category algebra
• The prime spectra of relative stable module categories
• Tensor structure on kC-mod and cohomology
• Module categories for group algebras over commutative rings
• Tensor Categories
• Recollements of Singularity Categories and Monomorphism Categories
• The spectrum of prime ideals in tensor triangulated categories
• Spectrum of some triangulated categories

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