10 citations · 13 across the 6 of their papers we have counts for
7 papers
Symbolic Powers and Symbolic Rees Algebras of Binomial Edge Ideals of Some Classes of Block Graphs
Iman Jahani, Shamila Bayati, Farhad Rahmati
In this paper, we investigate some properties of symbolic powers and symbolic Rees algebras of binomial edge ideals associated with some classes of block graphs. First, it is shown…
Comparison of symbolic and ordinary powers of parity binomial edge ideals
Nadia Taghipour, Shamila Bayati, Farhad Rahmati
In this paper, we investigate when symbolic and ordinary powers of the parity binomial edge ideal of a graph fail to be equal. It turns out that if is the parity…
A quasi-additive property of homological shift ideals
Shamila Bayati
In this paper, we investigate which classes of monomial ideals have a quasi-additive property of homological shift ideals. More precisely, for a monomial ideal we are intereste…
Multigraded Shifts of Matroidal Ideals
Shamila Bayati
In this paper, we show that if is a matroidal ideal, then the ideal generated by the -th multigraded shifts is also a matroidal ideal for every .
Expansions of monomial ideals and multigraded modules
Shamila Bayati, Jürgen Herzog
We introduce an exact functor defined on multigraded modules which we call the expansion functor and study its homological properties. The expansion functor applied to a monomial i…
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…
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…