13 papers · 1 filter
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…
Minimal primes and radicality of ideals generated by adjacent 2-minors
Takayuki Hibi, Francesco Navarra, Ayesha Asloob Qureshi +1
In this paper, we provide a complete description of the minimal primes of ideals generated by adjacent -minors, in terms of the so-called admissible sets and associated lattice…
On squarefree powers of simplicial trees
Elshani Kamberi, Francesco Navarra, Ayesha Asloob Qureshi
In this article, we study the squarefree powers of facet ideals associated with simplicial trees. Specifically, we examine the linearity of their minimal free resolution and their…