Normality and associated primes of closed neighborhood ideals and dominating ideals
M Nasernejad, S Bandari, LG Roberts - Journal of Algebra and Its …, 2025 - World Scientific
In this paper, we first give some sufficient criteria for normality of monomial ideals. As
applications, we show that closed neighborhood ideals of complete bipartite graphs are …
applications, we show that closed neighborhood ideals of complete bipartite graphs are …
On the strong persistence property and normally torsion-freeness of square-free monomial ideals
A Bretto, M Nasernejad, J Toledo - arXiv preprint arXiv:2411.14227, 2024 - arxiv.org
In this paper, we first show that any square-free monomial ideal in $ K [x_1, x_2, x_3, x_4,
x_5] $ has the strong persistence property. Next we will provide a criterion for a minimal …
x_5] $ has the strong persistence property. Next we will provide a criterion for a minimal …
Normally torsion-freeness and normality criteria for monomial ideals
M Nasernejad, VC Quinonez, J Toledo - arXiv preprint arXiv:2408.05561, 2024 - arxiv.org
In this paper, we focus on the associated primes of powers of monomial ideals and
asymptotic behavior properties such as normally torsion-freeness, normality, the strong …
asymptotic behavior properties such as normally torsion-freeness, normality, the strong …
On the (strong) persistence property,(nearly) normally torsion-freeness, and normality of monomial ideals with a view toward Combinatorics
M Nasernejad - 2023 - hal.science
The main aim of this work is to study several topics in monomial ideals. Generally, monomial
ideals play a fundamental role in investigating the connection between commutative algebra …
ideals play a fundamental role in investigating the connection between commutative algebra …