Modules over unramified regular local rings
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Publication:775081
zbMath0104.26202MaRDI QIDQ775081
Publication date: 1961
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
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A Remark on Generic Acyclicity ⋮ Necessary conditions for the depth formula over Cohen-Macaulay local rings ⋮ On the vanishing of homology for modules of finite complete intersection dimension ⋮ On the faithfulness of certain representations of \(\mathrm{GL}_2(\mathbb F)\) under an Iwasawa algebra ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ Maximal Cohen–Macaulay tensor products and vanishing of Ext modules ⋮ Vanishing of local cohomology and set-theoretically Cohen-Macaulay ideals ⋮ Vanishing of Ext and Tor over fiber products ⋮ Relative grade and relative Gorenstein dimension with respect to a semidualizing module ⋮ Vanishing of Tor over complete intersections ⋮ On the ideal case of a conjecture of Auslander and Reiten ⋮ On Auslander's depth formula ⋮ \(k\)-regular sequences to extension functors and local cohomology modules ⋮ On reduced G-perfection and horizontal linkage ⋮ Serre's condition for tensor products and \(n\)-Tor-rigidity of modules ⋮ Classes of cut ideals and their Betti numbers ⋮ Hochster's theta pairing and algebraic equivalence ⋮ On modules with reducible complexity ⋮ Framed symplectic sheaves on surfaces ⋮ A rigidity theorem for Ext ⋮ Torsion in Tensor Products over One-Dimensional Domains ⋮ The banks of the cohomology river ⋮ Auslander-Reiten conjecture and Auslander-Reiten duality ⋮ Huneke-Wiegand conjecture for complete intersection numerical semigroup rings. ⋮ Unnamed Item ⋮ Vertical components in fibre powers of analytic spaces. ⋮ Perfect bricks of every size. ⋮ The Jacobian ideal of a commutative ring and annihilators of cohomology ⋮ On the second rigidity theorem of Huneke and Wiegand ⋮ Huneke-Wiegand conjecture and change of rings ⋮ Vanishing of Tor, and why we care about it ⋮ Vanishing of Tate homology and depth formulas over local rings ⋮ Asymptotic behavior of Ext functors for modules of finite complete intersection dimension ⋮ Tensor products and direct limits of almost Cohen–Macaulay modules ⋮ Torsion in the tensor product of an ideal with its inverse ⋮ POWERS OF THE MAXIMAL IDEAL AND VANISHING OF (CO)HOMOLOGY ⋮ On the vanishing of (co)homology over local rings ⋮ Complexity of tensor products of modules and a theorem of Huneke-Wiegand ⋮ Detecting flatness over smooth bases ⋮ Desingularization of regular algebras ⋮ Vanishing of relative homology and depth of tensor products ⋮ Rigid ideals in Gorenstein rings of dimension one ⋮ Bounds on depth of tensor products of modules ⋮ Vanishing theorems for complete intersections ⋮ Flatness testing and torsion freeness of analytic tensor powers ⋮ Anneaux de groupe hereditaires et semi-hereditaires ⋮ Canonical elements in local cohomology modules and the direct summand conjecture ⋮ Some applications of the Frobenius in characteristic 0 ⋮ Amplitude inequalities for complexes ⋮ Homological dimensions of rigid modules ⋮ Quasi-projective dimension ⋮ On the Ideal Case of a Conjecture of Huneke and Wiegand ⋮ Modules of differentials of symmetric algebras ⋮ A note on torsionfree modules ⋮ Dimension projective finie et cohomologie locale. 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