5 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…
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…
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)}…