9 citations · 18 across the 4 of their papers we have counts for
7 papers
Linear strands of edge ideals of multipartite uniform clutters
Amin Nematbakhsh
We construct the first linear strand of the minimal free resolutions of edge ideals of -partite -uniform clutters. We show that the first linear strand is supported on a rela…
The ideal of maximal flags of a poset
Amin Nematbakhsh
We study algebraic and homological properties of facet ideals of order complexes of posets which we call ideals of maximal flags of posets or simply flag ideals. We characterize th…
Cotangent cohomology of quadratic monomial ideals
Amin Nematbakhsh
We study the deformation theory of quotients of polynomial rings by quadratic monomial ideals. More precisely we compute the first cotangent cohomology module of such rings. We als…
Rigid ideals by deforming quadratic letterplace ideals
Gunnar Fløystad, Amin Nematbakhsh
We compute the deformation space of quadratic letterplace ideals of finite posets when its Hasse diagram is a rooted tree. These deformations are unobstructed. The def…
Resolutions of letterplace ideals of posets
Alessio D'Alì, Gunnar Fløystad, Amin Nematbakhsh
We investigate resolutions of letterplace ideals of posets. We develop topological results to compute their multigraded Betti numbers, and to give structural results on these Betti…
Resolutions of co-letterplace ideals and generalizations of Bier spheres
Alessio D'Alì, Gunnar Fløystad, Amin Nematbakhsh
We give the resolutions of co-letterplace ideals of posets in a completely explicit, very simple form. This generalizes and simplifies a number of linear resolutions in the literat…
Homotopy category of N-complexes of projective modules
Payam Bahiraei, Rasool Hafezi, Amin Nematbakhsh
In this paper, we show that the homotopy category of N-complexes of projective R-modules is triangle equivalent to the homotopy category of projective T_{N-1}(R)- modules where T_{…