Mircea Cimpoeaş

activity

20062026

most citedStanley depth of complete intersection monomial ideals

35 citations · 204 across the 75 of their papers we have counts for

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52 papers · 1 filter

math.AC2026

On the existence of the maximal ideal in the set of associated primes of monomial ideals

M. Cimpoeaş, M. Nasernejad, A. A. Qureshi

In this paper, we investigate the behavior of associated primes of powers of monomial ideals, with particular emphasis on the presence of the maximal ideal and the phenomenon of fl…

math.AC2026

On the Hilbert depth of a special class of squarefree monomial ideals

Andreea I. Bordianu, Mircea Cimpoeas

Let $r$ and $n$ be two positive integers and $S = K [x_{1}, \dots, x_{n + r - 1}]$ , the ring of polynomials in $n + r - 1$ variable, over a field $K$ . We consider the squarefree monomial ideal $…

math.AC2026

On the Hilbert depth of the quotient ring of the edge ideal of a complete bipartite graph

Andreea I. Bordianu, Mircea Cimpoeas

Let $n \geq m$ be two positive integers, $S_{n, m} = K [x_{1}, \dots, x_{n}, y_{1}, \dots, y_{m}]$ and $I_{n, m} = (x_{i} y_{j} : 1 \leq i \leq n, 1 \leq j \leq m) \subset S_{n, m}$ the edge ideal of a complet…

math.AC2025

On the Stanley length of monomial ideals

Mircea Cimpoeas

Let $S = K [x_{1}, \dots, x_{n}]$ be the ring of polynomials in $n$ variables over an arbitrary field $K$ . Given a finitely generated multigraded module $M$ , its Stanley length, denoted by…

math.AC2025

On the Hilbert depth of the quotient ring of the edge ideal of a star graph

Silviu Balanescu, Mircea Cimpoeas, Mihai Cipu

Let $S_{n} = K [x_{1}, \dots, x_{n}, y]$ and $I_{n} = (x_{1} y, x_{2} y, \dots, x_{n} y) \subset S_{n}$ be the edge ideal of star graph. We prove that $\operatorname{hdepth}(S_n/I_n)\geq \left\lceil \frac{n}{2…

math.AC2024

On the Stanley depth and Hilbert depth of some classes of edge ideals of graphs

Andreea I. Bordianu, Mircea Cimpoeas

We study the Stanley depth and the Hilbert depth of the edge ideals of path graphs, cycle graphs, generalized star graphs and double broom graphs.