H. Rahmati

activity

20062024

most citedBetti numbers of the Frobenius powers of the maximal ideal over a general hypersurface

1 citations · 2 across the 8 of their papers we have counts for

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Showing 2010Show all

2 papers · 1 filter

math.AC2010

The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring

Andrew R. Kustin, Hamid Rahmati, Adela Vraciu

Let $k$ be a field. For each pair of positive integers $(n, N)$ , we resolve $Q = R / (x^{N}, y^{N}, z^{N})$ as a module over the ring $R = k [x, y, z] / (x^{n} + y^{n} + z^{n})$ . Write $N$ in the form $N = an + r$ …

math.AC2010

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…