35 citations · 204 across the 75 of their papers we have counts for
6 papers · 1 filter
A note on Stanley conjecture for monomial ideals
Mircea Cimpoeas
In this paper, we prove that if is a monomial ideal then and satisfy the Stanley conjecture when has a small number of generators, with r…
The Stanley conjecture on monomial almost complete intersection ideals
Mircea Cimpoeas
Let be a monomial almost complete intersection ideal of a polynomial algebra over a field. Then Stanley's Conjecture holds for and .
Several inequalities regarding sdepth
Mircea Cimpoeas
We give several bounds for , , , , and where $I,J\subset S=K[x_1,...…
Multigraded modules of Borel type
Mircea Cimpoeas
In this paper, we introduce the multigraded modules of Borel type and extend several results from the theory of ideals of Borel type. We prove that modules of Borel type are sequen…
Regularity of quasi-symbolic and bracket powers of Borel type ideals
Mircea Cimpoeas
In this paper, we show that the regularity of the q-th quasi-symbolic power and the regularity of the -th bracket power of a monomial ideal of Borel type $…
Vertex cover algebras of simplicial multicomplexes
Mircea Cimpoeas
We define vertex cover algebras for weighted simplicial multicomplexes and prove basics properties of them. Also, we describe these algebras for multicomplexes which have only one…