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math.CT2025
The homological spectrum for monoidal triangulated categories
Daniel K. Nakano, Kent B. Vashaw, Milen T. Yakimov
The authors develop a notion of homological prime spectrum for an arbitrary monoidal triangulated category, . Unlike the symmetric case due to Balmer, the homological…
math.CT2023
A Chinese remainder theorem and Carlson's theorem for monoidal triangulated categories
Daniel K. Nakano, Kent B. Vashaw, Milen T. Yakimov
In this paper the authors prove fundamental decomposition theorems pertaining to the internal structure of monoidal triangulated categories (MCs). The tensor structure of an M$Δ…