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math.RT2026
Definable functors and Brown--Adams representability
Isaac Bird
The question of when the derived category of a ring satisfies Brown--Adams representability is revisited via studying the transfer of pure homological dimension along definable fun…
math.RT2019
Two definable subcategories of maximal Cohen-Macaulay modules
Isaac Bird
Over a Cohen-Macaulay ring we consider two extensions of the maximal Cohen-Macaulay modules from the viewpoint of definable subcategories, which are closed under direct limits, dir…