9 papers
Linear representation of groups associated to graphs
Alain Bretto, Alain Faisant, Neda Moradi +1
In this article, we introduce a group linear representation associated to a graph. We study this representation as well as the canonical decomposition of the associated module. A c…
Strong persistence index and fluctuations in colon powers of monomial ideals
Mehrdad Nasernejad, Jonathan Toledo
Let be an ideal in a commutative Noetherian ring . We say that a positive integer is the strong persistence index of if is the smallest integer such th…
Criteria for the presence of the maximal ideal in the set of associated primes
Mehrdad Nasernejad, Jonathan Toledo
In this paper, we establish some criteria to detect the presence of the maximal ideal in the set of associated primes of powers of monomial ideals in the polyn…
Asymptotic Properties of Filtrations of Ideals
Mehrdad Nasernejad, Jonathan Toledo
We introduce a unified framework for studying persistence phenomena in commutative algebra via filtrations of ideals. For a filtration , w…
Demotions of ideals in commutative rings with applications to normally torsion-freeness
Mehrdad Nasernejad, Jonathan Toledo
Let J \subseteq I be ideals in a commutative Noetherian ring R, and r,s \geq 0. We say that J is a demotion of I if I^r J^s = I^{r+s} \cap J^s for all r,s \geq 0. In this paper, we…
On the copersistence property and nearly copersistence property of monomial ideals
Mehrdad Nasernejad, Jonathan Toledo
In this paper we investigate the monomial ideals which satisfy the copersistence property or nearly copersistence property.