35 citations · 204 across the 75 of their papers we have counts for
4 papers · 2 filters
On the Stanley depth of powers of some classes of monomial ideals
Mircea Cimpoeas
Given arbitrary monomial ideals and in polynomial rings and over a field , we investigate the Stanley depth of powers of the sum , and their quotient rings,…
On the quasi-depth of squarefree monomial ideals and the sdepth of the monomial ideal of independent sets of a graph
Mircea Cimpoeas
If are two monomials ideals, we give a practical upper bound for the Stanley depth of , which we call it the \emph{quasi-depth} of . Also, we compute the qua…
Stanley depth of the path ideal associated to a line graph
Mircea Cimpoeas
We consider the path ideal associated to a line graph, we compute \texttt{sdepth} for its quotient ring and note that it is equal with its \texttt{depth}. In particular, it satisfi…
Depth and Stanley depth of the facet ideal associated to a line-type simplicial complex
Mircea Cimpoeas
We consider the face ideal associated to a line-type simplicial complex. We compute the \texttt{depth} and the \texttt{sdepth} for its quotient ring. In particular, the facet ideal…