… We show in Theorem 3.31 that quasi-fiber product rings satisfy a … Huneke-Wiegand conjecture
for quasi-fiber product rings. … article all fiber product rings and quasi-fiber product rings are …

… rings will be local, and our main results are for hypersurfaces, that is, rings of the form S/(f),
where S is a regular local ring … a ring of the form S/(f1,...,fr), where S is a regular local ring and (…

… of Tor over hypersurfac and regular rings, begun in [HW], A … a condit over a regular local ring
R, for a reflexive module Μ to … cohomology mod of a tensor product vanishes, then all lower …

… In this article we study the complexity of tensor products of modules over a complete intersection
ring. Complexity is a measure of the growth of the Betti numbers of a module. We prove …

… Motivated by a conjecture of Huneke and Wiegand concerning torsion in tensor products
of modules over local rings, we investigate the existence of ideals I in a one-dimensional …

… Throughout this paper R is a local ring with maximal ideal m. Our convention is that local
rings are always Noetherian •. Let M and N be finitely generated non-zero R-modules, and put …

Let R be a Cohen–Macaulay local ring of dimension one with a canonical module K R . Let I
be a faithful ideal of R. We explore the problem of when I ⊗ R I ∨ is torsionfree, where I ∨ = …

… of Huneke and Wiegand claims that, over one-dimensional commutative Noetherian local
domains, the tensor product of a … Hence we should highlight that we do not assume the ring in …

… Let R be a CM local ring with dimR = 1 and assume ∃KR. Let I be a faithful ideal of R. If I ⊗…
Let R be a CM local ring with dimR = 1 and assume ∃KR. Let I be a faithful ideal of R. If I ⊗R …

… Huneke and Wiegand conjectured that, if M is a finitely … –Macaulay local ring R, then the
tensor product of M with its … –Macaulay over Cohen–Macaulay rings, our conclusion may be …