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math.AC2023
On the depth of simplicial affine semigroup rings
Raheleh Jafari, Ignacio Ojeda
We recall and delve into the different characterizations of the depth of an affine semigroup ring, providing an original characterization of depth two in three and four dimensional…
math.AC2023
Universally free numerical semigroups
Ignacio García Marco, Pedro A. García-Sánchez, Ignacio Ojeda +1
A numerical semigroup is said to be universally free if it is free for any possible arrangement of its minimal generating set. In this work, we establish that toric ideals associat…