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math.CT2025
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity
Leonid Positselski
Given a hereditary complete cotorsion pair generated by a set of objects in a Grothendieck category , we construct a natural equivalence between…
math.CT2024
Compact generators of the contraderived category of contramodules
Leonid Positselski, Jan Stovicek
We consider the contraderived category of left contramodules over a right linear topological ring with a countable base of neighborhoods of zero. Equivalently, this i…
math.CT2023
Semialgebras associated with nonunital algebras and -linear subcategories
Leonid Positselski
This paper is a sequel to arXiv:2307.13358 and arXiv:2308.16090. A construction associating a semialgebra with an algebra, subalgebra, and a coalgebra dual to the subalgebra played…