26 citations · 29 across the 12 of their papers we have counts for
14 papers
The Gauss Algebra of squarefree Veronese algebras
Somayeh Bandari, Raheleh Jafari
We investigate the Gauss algebra for squarefree Veronese algebras generated in degree . For small dimensions not exceeding , we determine the Gauss algebra by specifying its…
Componentwise linear ideals and exchange properties
Ayesha Asloob Qureshi, Somayeh Bandari
We prove the componentwise linearity of ideals that satisfy a certain exchange property similar to polymatroidal ideals. We also discuss the componentwise linearity and exchange pr…
Normality and associated primes of Closed neighborhood ideals and dominating ideals
Mehrdad Nasernejad, Somayeh Bandari, Leslie G. Roberts
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 no…
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…
Dominating ideals and closed neighborhood ideals of graphs
Mehrdad Nasernejad, Ayesha Asloob Qureshi, Somayeh Bandari +1
We study the closed neighborhood ideals and the dominating ideals of graphs, in particular, of trees and cycles. We prove that the closed neighborhood ideals and the dominating ide…
On the stable property of projective dimension
Somayeh Bandari, Raheleh Jafari
We introduce the concept of monomial ideals with stable projective dimension, as a generalization of the Cohen-Macaulay property. Indeed, we study the class of monomial ideals ,…
On the polymatroidal property of monomial ideals with a view towards orderings of minimal generators
Somayeh Bandari, Rahim Rahmati-Asghar
We prove that a monomial ideal generated in a single degree, is polymatroidal if and only if it has linear quotients with respect to the lexicographical ordering of the minimal…
The cleanness of (symbolic) powers of Stanley-Reisner ideals
Somayeh Bandari, Ali Soleyman Jahan
Let be a pure simplicial complex and its Stanley-Reisner ideal in a polynomial ring . We show that is a matroid (complete intersection) if and only if $S/I_Δ^{(m)}…
On certain equidimensional polymatroidal ideals
Somayeh Bandari, Raheleh Jafari
The class of equidimensional polymatroidal ideals are studied. In particular, we show that an unmixed polymatroidal ideal is connected in codimension one if and only if it is Cohen…
Pretty cleanness and filter-regular sequences
Somayeh Bandari, Kamran Divaani-Aazar, Ali Soleyman Jahan
Let be a field and . Let be a monomial ideal of and be monomials in which form a filter-regular sequence on . We show t…
Almost complete intersections and Stanley's conjecture
Somayeh Bandari, Kamran Divaani-Aazar, Ali Soleyman Jahan
Let be a field and a monomial ideal of the polynomial ring . We show that if either: 1) is almost complete intersection, 2) can be generated b…
Monomial localizations and polymatroidal ideals
Somayeh Bandari, Jürgen Herzog
In this paper we consider monomial localizations of monomial ideals and conjecture that a monomial ideal is polymatroidal if and only if all its monomial localizations have a linea…
Monomial ideals whose depth function has any given number of strict local maxima
Somayeh Bandari, Jürgen Herzog, Takayuki Hibi
We construct monomial ideals with the property that their depth function has any given number of strict local maxima.
Filter-regular sequences, almost complete intersections and Stanley's conjecture
Somayeh Bandari, Kamran Divaani-Aazar, Ali Soleyman Jahan
Let be a field and a monomial ideal of the polynomial ring generated by monomials . We show that is pretty clean if either: 1) $…