Relevant bibliographies by topics / Tensor triangulated categories

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Academic literature on the topic 'Tensor triangulated categories'

Author: Grafiati
Published: 4 April 2023

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Journal articles on the topic "Tensor triangulated categories"

1

GARKUSHA, GRIGORY. "R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES." Journal of Algebra and Its Applications 09, no. 06 (2010): 1001–14. http://dx.doi.org/10.1142/s0219498810004361.

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Various authors classified the thick triangulated ⊗-subcategories of the category of compact objects for appropriate compactly generated tensor triangulated categories by using supports of objects. In this paper we introduce R-supports for ring objects, showing that these completely determine the thick triangulated ⊗-subcategories. R-supports give a general framework for the celebrated classification theorems by Benson–Carlson–Rickard–Friedlander–Pevtsova, Hopkins–Smith and Hopkins–Neeman–Thomason.
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2

Steen, Johan, and Greg Stevenson. "Strong generators in tensor triangulated categories." Bulletin of the London Mathematical Society 47, no. 4 (2015): 607–16. http://dx.doi.org/10.1112/blms/bdv037.

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3

Balchin, Scott, and J. P. C. Greenlees. "Adelic models of tensor-triangulated categories." Advances in Mathematics 375 (December 2020): 107339. http://dx.doi.org/10.1016/j.aim.2020.107339.

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4

Klein, Sebastian. "Chow groups of tensor triangulated categories." Journal of Pure and Applied Algebra 220, no. 4 (2016): 1343–81. http://dx.doi.org/10.1016/j.jpaa.2015.09.006.

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5

Dell’Ambrogio, Ivo, and Donald Stanley. "Affine weakly regular tensor triangulated categories." Pacific Journal of Mathematics 285, no. 1 (2016): 93–109. http://dx.doi.org/10.2140/pjm.2016.285.93.

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6

Biglari, Shahram. "A Künneth formula in tensor triangulated categories." Journal of Pure and Applied Algebra 210, no. 3 (2007): 645–50. http://dx.doi.org/10.1016/j.jpaa.2006.11.005.

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7

Banerjee, Abhishek. "A topological nullstellensatz for tensor-triangulated categories." Comptes Rendus Mathematique 356, no. 4 (2018): 365–75. http://dx.doi.org/10.1016/j.crma.2018.02.012.

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8

Xu, Fei. "Spectra of tensor triangulated categories over category algebras." Archiv der Mathematik 103, no. 3 (2014): 235–53. http://dx.doi.org/10.1007/s00013-014-0684-7.

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9

Balmer, Paul. "Homological support of big objects in tensor-triangulated categories." Journal de l’École polytechnique — Mathématiques 7 (August 4, 2020): 1069–88. http://dx.doi.org/10.5802/jep.135.

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10

Balmer, Paul. "The spectrum of prime ideals in tensor triangulated categories." Journal für die reine und angewandte Mathematik (Crelles Journal) 2005, no. 588 (2005): 149–68. http://dx.doi.org/10.1515/crll.2005.2005.588.149.

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