1 citations · 2 across the 8 of their papers we have counts for
9 papers
Quantum resistant multi-signature scheme with optimal communication round: A Blockchain-based approach
Hamidreza Rahmati, Farhad Rahmati
Blockchain is a decentralized network to increase trust, integrity, and transparency of transactions. With the exponential growth of transactions in the realm of Blockchain, especi…
Resolutions of differential operators of low order for an isolated hypersurface singularity
Rachel N. Diethorn, Jack Jeffries, Claudia Miller +4
In this paper we develop a new approach for studying differential operators of an isolated singularity graded hypersurface ring defining a surface in affine three-space over a…
Transferring algebra structures on complexes
Claudia Miller, Hamidreza Rahmati
We discuss a homological method for transferring algebra structures on complexes along suitably nice homotopy equivalences, including those obtained after an application of the Per…
Betti numbers of the Frobenius powers of the maximal ideal over a general hypersurface
Claudia Miller, Hamidreza Rahmati, Rebecca R. G
The main goal of this paper is to prove, in positive characteristic , stability behavior for the graded Betti numbers in the periodic tails of the minimal resolutions of Frobeni…
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…
The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring
Andrew R. Kustin, Hamid Rahmati, Adela Vraciu
Let be a field. For each pair of positive integers , we resolve as a module over the ring . Write in the form …