4 papers
The weak Lefschetz property of a special class of Artinian algebras over fields of positive characteristic
Hassan Haghighi, Sepideh Tashvighi
In this paper, we study the dependence of the weak Lefschetz property of algebras defined by a special class of monomials ideals in a polynomial ring with coefficient in a field, t…
On the fattening of ACM arrangements of codimension 2 subspaces in P^N
Mohammad Zaman Fashami, Hassan Haghighi, Tomasz Szemberg
In the present note we study configurations of codimension 2 flats in projective spaces and classify those with the smallest rate of growth of the initial sequence. Our work extend…
Containment problem for the quasi star configurations of points in
Hassan Haghighi, Mohammad Mosakhani
In this paper, the containment problem for the defining ideal of a special type of zero dimensional subschemes of , so called quasi star configurations, is investigat…
Cohen-Macaulay-ness in codimension for bipartite graphs
Hassan Haghighi, Siamak Yassemi, Rahim Zaare-Nahandi
Let be an unmixed bipartite graph of dimension . Assume that , with , is a maximal complete bipartite subgraph of of minimum dimension. Then is Co…