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math.AC2024
Lyubeznik tables of and rings
Josep Àlvarez Montaner, Siamak Yassemi
We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley-Reisner rings in any characteristic when they satisfy Serre's condition or…
math.AC2024
Induced matching, ordered matching and Castelnuovo-Mumford regularity of bipartite graphs
A. V. Jayanthan, S. A. Seyed Fakhari, I. Swanson +1
Let G be a finite simple graph and let indm(G) and ordm(G) denote the induced matching number and the ordered matching number of G, respectively. We characterize all bipartite grap…
math.RT2024
The non-decreasing condition on g-vectors
Mohamad Haerizadeh, Siamak Yassemi
The non-decreasing condition on g-vectors is introduced. Our study shows that this condition is both necessary and sufficient to ensure that the generically indecomposable direct s…