10 citations · 21 across the 18 of their papers we have counts for
4 papers · 2 filters
Associated primes, witnesses, and omega invariants of monomial ideals
Jacob Miller, Mehrdad Nasernejad, Ştefan O. Tohǎneanu
We introduce and study the omega invariant of a proper ideal in a Noetherian commutative ring, defined as the number of associated primes of the ideal. Our main objective is to inv…
On the existence of the maximal ideal in the set of associated primes of monomial ideals
M. Cimpoeaş, M. Nasernejad, A. A. Qureshi
In this paper, we investigate the behavior of associated primes of powers of monomial ideals, with particular emphasis on the presence of the maximal ideal and the phenomenon of fl…
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…
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…