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Tensor Triangulated Categories of Algebraic Structures: Bridging Groups, Rings, and Derived Fields
This paper explores the unifying framework of tensor triangulated categories (TTCs) to study diverse algebraic structures. We establish how the abstract machinery of TTCs, combining the axioms of a triangulated category with a compatible symmetric monoidal structure, provides a common language to analyze groups, rings, and the modern notion of derived ...openaire +1 more source
Three notions of dimension for triangulated categories
Journal of Algebra, 2021Alexey Elagin, Valery Lunts
exaly
Parametrizing recollement data for triangulated categories
Journal of Algebra, 2009Pedro Nicolas, Manuel SaorĂn
exaly
From triangulated categories to abelian categories: cluster tilting in a general framework
Mathematische Zeitschrift, 2007Bin Zhu
exaly
Formal completions and idempotent completions of triangulated categories of singularities
Advances in Mathematics, 2011Dmitri O Orlov
exaly
Dimensions of triangulated categories via Koszul objects
Mathematische Zeitschrift, 2009Srikanth B Iyengar, Henning Krause
exaly
Cotorsion Pairs in a Recollement of Triangulated Categories
Communications in Algebra, 2013Jianmin Chen
exaly

