5 citations · 9 across the 4 of their papers we have counts for
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Ideals with linear quotients and componentwise polymatroidal ideals
Somayeh Bandari, Ayesha Asloob Qureshi
If is a monomial ideal with linear quotients, then it has componentwise linear quotients. However, the converse of this statement is an open question. In this paper, we provide…
Restricted classes of Veronese type ideals and algebras
Rodica Dinu, Jürgen Herzog, Ayesha Asloob Qureshi
We study ideals which are generated by monomials of degree in the polynomial ring in variables and which satisfy certain numerical side conditions regarding their exponents…
Regularity and Gorenstein property of the -convex Polyominoes
Viviana Ene, Jürgen Herzog, Ayesha Asloob Qureshi +1
We study the coordinate ring of an -convex polyomino, determine its regularity in terms of the maximal number of rooks that can be placed in the polyomino. We also characterize…
t-spread strongly stable monomial ideals
Viviana Ene, Jürgen Herzog, Ayesha Asloob Qureshi
We introduce the concept of -spread monomials and -spread strongly stable ideals. These concepts are a natural generalization of strongly stable and squarefree strongly stabl…
The fiber cone of a monomial ideal in two variables
Jürgen Herzog, Ayesha Asloob Qureshi, Maryam Mohammadi Saem
We determine in an explicit way the depth of the fiber cone and its relation ideal for classes of monomial ideals in two variables. These classes include concave and convex ideals…
Alexander duality for monomial ideals associated with isotone maps between posets
Juergen Herzog, Ayesha Asloob Qureshi, Akihiro Shikama
For a pair of finite posets the generators of the ideal correspond bijectively to the isotone maps from to . In this note we determine all pairs for…