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Sortable simplicial complexes and their associated toric rings
Antonino Ficarra, Somayeh Moradi
Let be a -flag sortable simplicial complex. We consider the toric ring and the Rees algebra of the facet ideals of pure skeletons of…
Componentwise linear symbolic powers of edge ideals and Minh's conjecture
Antonino Ficarra, Somayeh Moradi, Tim Römer
In this paper, we study the componentwise linearity of symbolic powers of edge ideals. We propose the conjecture that all symbolic powers of the edge ideal of a cochordal graph are…
Monomial ideals whose all matching powers are Cohen-Macaulay
Antonino Ficarra, Somayeh Moradi
In the present paper, we aim to classify monomial ideals whose all matching powers are Cohen-Macaulay. We especially focus our attention on edge ideals. The Cohen-Macaulayness of t…
On the Rees algebra and the conductor of an ideal
Oleksandra Gasanova, Jürgen Herzog, Filip Jonsson Kling +1
For an ideal in a Noetherian ring , we introduce and study its conductor as a tool to explore the Rees algebra of . The conductor of is an ideal obtai…