7 papers
The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension
Rasoul Ahangari Maleki, Liana M. Şega
Let $\kk$ be a field, a standard graded quadratic $\kk$-algebra with $\dim_{\kk}R_2\le 3$, and let $\ov\kk$ denote an algebraic closure of $\kk$. We construct a graded surjecti…
Koszul cycles and Golod rings
Jürgen Herzog, Rasoul Ahangari Maleki
Let be the power series ring or the polynomial ring over a field in the variables , and let , where is proper ideal which we assume to be graded…
Linearity defect of the residue field of short local rings
Rasoul Ahangari Maleki
Let $(R,\m,k)$ be a Noetherian local ring with maximal ideal $\m$ and residue field . The linearity defect of a finitely generated -module , which is denoted $\ld_R(M)$, i…
Rate and syzigies of modules over Veronese subrings
Rasoul Ahangari Maleki
Let be a field, be a standard graded -algebra and be a finitely generated graded -module. The rate of , $\rate_R(M)$, is a measure of the growth of the shifts…
On the rate of graded modules
Rasoul Ahangari Maleki, Maryam Jahangiri
Let be a field, a standard graded -algebra and be a finitely generated graded -module. The rate of , , is a measure of the growth of the shifts in t…
Regularity and linearity defect of modules over local rings
Rasoul Ahangari Maleki, Maria Evelina Rossi
Given a finitely generated module over a commutative local ring (or a standard graded -algebra) $(R,\m,k) $ we detect its complexity in terms of numerical invariants coming…
On the regularity and Koszulness of modules over local rings
Rasoul Ahangari Maleki
Koszul modules over Noetherian local rings were introduced by Herzog and Iyengar and they possess good homological properties, for instance their Poincare' series is rational.…