25 citations · 29 across the 10 of their papers we have counts for
14 papers
Big pure projective modules over commutative noetherian rings: comparison with the completion
Dolors Herbera, Pavel Příhoda, Roger Wiegand
A module over a ring is pure projective provided it is isomorphic to a direct summand of a direct sum of finitely presented modules. We develop tools for the classification of…
Auslander-Reiten and Huneke-Wiegand conjectures over quasi-fiber product rings
T. H. Freitas, V. H. Jorge PÉrez, R. Wiegand +1
In this paper we explore consequences of the vanishing of for finitely generated modules over a quasi-fiber product ring ; that is, is a local ring such that $R/…
Vanishing of Tor over fiber products
Thiago H. Freitas, Victor Hugo Jorge Pérez, Roger Wiegand +1
Let and be local rings, and let denote their fiber product over their common residue field . Inspired by work of Naseh and Sather-W…
Rigid ideals in Gorenstein rings of dimension one
Craig Huneke, Srikanth B. Iyengar., Roger Wiegand
We investigate the existence of ideals in a one-dimensional Gorenstein local ring satisfying .
Criteria for vanishing of Tor over Complete Intersections
Olgur Celikbas, Srikanth B. Iyengar, Greg Piepmeyer +1
In this paper we exploit properties of Dao's eta-pairing as well as techniques of Huneke, Jorgensen, and Wiegand to study the vanishing of Tor_i(M,N) of finitely generated modules…
Torsion in tensor powers of modules
Olgur Celikbas, Srikanth B. Iyengar, Greg Piepmeyer +1
Tensor products usually have nonzero torsion. This is a central theme of Auslander's paper "Modules over unramified regular local rings"; the theme continues in the work of Huneke…