11 citations · 57 across the 23 of their papers we have counts for
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math.AC2012★ 11 cited
Macaulay-like marked bases
Cristina Bertone, Francesca Cioffi, Margherita Roggero
We define marked sets and bases over a quasi-stable ideal in a polynomial ring on a Noetherian -algebra, with a field of any characteristic. The involved polyn…
math.AC2012★ 2 cited
The cones of Hilbert functions of squarefree modules
Cristina Bertone, Dang Hop Nguyen, Kathrin Vorwerk
In this paper, we study different generalizations of the notion of squarefreeness for ideals to the more general case of modules. We describe the cones of Hilbert functions for squ…