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math.AC2023
Derived Complete Complexes at Weakly Proregular Ideals
Amnon Yekutieli
Weak proregularity of an ideal in a commutative ring is a subtle generalization of the noetherian property of the ring. Weak proregularity is of special importance for the study of…
math.KT2023
Improved Kunneth Tricks
Amnon Yekutieli
The Kunneth trick is a formula for the top cohomology of the derived tensor product of two complexes of modules over a ring. In this note we present two improvements of this formul…
math.AG2023
Quasi-Isomorphisms of Commutative DG Rings and Divided Power Structures
Amnon Yekutieli
We prove that a quasi-isomorphism between commutative DG rings, where admits a divided power structure, can be factored as , where $e : A \…