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math.AC2011
Squarefree vertex cover algebras
Shamila Bayati, Farhad Rahmati
In this paper we introduce squarefree vertex cover algebras. We study the question when these algebras coincide with the ordinary vertex cover algebras and when these algebras are…
math.AC2011
On the stable set of associated prime ideals of a monomial ideal
Shamila Bayati, Jürgen Herzog, Giancarlo Rinaldo
It is shown that any set of nonzero monomial prime ideals can be realized as the stable set of associated prime ideals of a monomial ideal. Moreover, an algorithm is given to compu…