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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Showing 2026 · math.ACShow all

3 papers · 2 filters

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…