5 citations · 9 across the 15 of their papers we have counts for
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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…
Prime and Cohen--Macaulay binomial ideals with linear resolution
Takayuki Hibi, Ayesha Asloob Qureshi, Sara Saeedi Madani
Let be an ideal of a polynomial ring over a field for which is minimally generated by at least two quadratic binomials. Suppose that (i) is prime, (ii) is…
On the Linearity of Squarefree Powers of Edge Ideals
Francesco Navarra, Ayesha Asloob Qureshi, Naoki Terai
Let be a graph and its edge ideal. The -th squarefree power is the monomial ideal generated by squarefree monomials corresponding to the matchings of siz…
An algebraic study of ideals of weak graph homomorphisms
Francesco Navarra, Ayesha Asloob Qureshi, Seyed Amin Seyed Fakhari
Let and be finite simple graphs and assume that either both are undirected or both are directed. We introduce and study the ideal of weak graph homomorphisms .…
Squarefree powers of closed neighborhood ideals
Marie Amalore Nambi, Ayesha Asloob Qureshi
In this article, we characterize all trees whose highest non-vanishing squarefree power of the closed neighborhood ideal is componentwise linear. In addition, we investigate the Ca…