33 citations · 37 across the 7 of their papers we have counts for
9 papers
Divisor sequences of atoms in Krull monoids
Nicholas R. Baeth, Terri Bell, Courtney R. Gibbons +1
The divisor sequence of an irreducible element (\textit{atom}) of a reduced monoid is the sequence where, for each positive integer , den…
Uniform Artin-Rees Bounds for Syzygies
Ian M. Aberbach, Aline Hosry, Janet Striuli
Let be a local Noetherian ring, let be a finitely generated -module and let be a free resolution of . We find a uniform bound $…
Exact pairs of homogeneous zero divisors
Andrew R. Kustin, Janet Striuli, Adela Vraciu
Let S be a standard graded Artinian algebra over a field k. We identify constraints on the Hilbert function of S which are imposed by the hypothesis that S contains an exact pair o…
Duality for Koszul Homology over Gorenstein Rings
Claudia Miller, Hamidreza Rahmati, Janet Striuli
We study Koszul homology over Gorenstein rings. If an ideal is strongly Cohen-Macaulay, the Koszul homology algebra satisfies Poincaré duality. We prove a version of this duality w…
Brauer-Thrall for totally reflexive modules
Lars Winther Christensen, David A. Jorgensen, Hamidreza Rahmati +2
Let R be a commutative noetherian local ring that is not Gorenstein. It is known that the category of totally reflexive modules over R is representation infinite, provided that it…
Growth in the minimal injective resolution of a local ring
Lars Winther Christensen, Janet Striuli, Oana Veliche
Let R be a commutative noetherian local ring with residue field k and assume that it is not Gorenstein. In the minimal injective resolution of R, the injective envelope E of the re…