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4 papers · 2 filters
Reflexivity and rigidity for complexes. I. Commutative rings
Luchezar L. Avramov, Srikanth B. Iyengar, Joseph Lipman
A notion of rigidity with respect to an arbitrary semidualizing complex C over a commutative noetherian ring R is introduced and studied. One of the main result characterizes C-rig…
Reduction of derived Hochschild functors over commutative algebras and schemes
Luchezar L. Avramov, Srikanth B. Iyengar, Joseph Lipman +1
We study functors underlying derived Hochschild cohomology, also called Shukla cohomology, of a commutative algebra S essentially of finite type and of finite flat dimension over a…
Annihilators of Graded Components of the Canonical Module, and the Core of Standard Graded Algebras
Louiza Fouli, Claudia Polini, Bernd Ulrich
We relate the annihilators of graded components of the canonical module of a graded Cohen-Macaulay ring to colon ideals of powers of the homogeneous maximal ideal. In particular, w…
Bockstein homomorphisms in local cohomology
Anurag K. Singh, Uli Walther
Let be a polynomial ring in finitely many variables over the integers, and fix an ideal of . We prove that for all but finitely prime integers , the Bockstein homomor…