5 papers
Semi-regular sequences and other random systems of equations
M. Bigdeli, E. De Negri, M. M. Dizdarevic +3
The security of multivariate cryptosystems and digital signature schemes relies on the hardness of solving a system of polynomial equations over a finite field. Polynomial system s…
Multigraded minimal free resolutions of simplicial subclutters
Mina Bigdeli, Ali Akbar Yazdan Pour
This paper concerns the study of a class of clutters called simplicial subclutters. Given a clutter and its simplicial subclutter , we compare some algeb…
Edge ideals with almost maximal finite index and their powers
Mina Bigdeli
A graded ideal in , where is a field, is said to have almost maximal finite index if its minimal free resolution is linear up to the ho…
Decomposable clutters and a generalization of Simon's conjectutre
Mina Bigdeli, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi
Each (equigenerated) squarefree monomial ideal in the polynomial ring represents a family of subsets of , called a (uniform) clutter. In this…
Chordality, -collapsibility, and componentwise linear ideals
Mina Bigdeli, Sara Faridi
Using the concept of -collapsibility from combinatorial topology, we define chordal simplicial complexes and show that their Stanley-Reisner ideals are componentwise linear. Our…