Brown representability for triangulated categories with a linear action by a graded ring-Reference-Cited by-同舟云学术

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Brown representability for triangulated categories with a linear action by a graded ring

Published:2022-12-09 Issue:2 Volume:120 Page:135-146
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math.

Author:

Letz Janina C.^ORCID

Abstract

AbstractIn this paper we give necessary and sufficient conditions for a functor to be representable in a strongly generated triangulated category which has a linear action by a graded ring, and we discuss some applications and examples.

Funder

Universität Bielefeld

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00013-022-01800-7.pdf

Reference22 articles.

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3. Avramov, L.L., Buchweitz, R.-O., Iyengar, S.B., Miller, C.: Homology of perfect complexes. Adv. Math. 223(5), 1731–1781 (2010)

4. Avramov, L.L., Gasharov, V.N., Peeva, I.V.: Complete intersection dimension. Inst. Hautes Études Sci. Publ. Math. 86, 67–114 (1997)

5. Avramov, L.L., Iyengar, S.B., Lipman, J.: Reflexivity and rigidity for complexes, I. Commutative rings. Algebra Number Theory 4(1), 47–86 (2010)

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