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

collaborators

79 papers

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.CO2025

Special restricted partition functions for the stable sheaf cohomology on flag varieties

Mircea Cimpoeas

Let $a := (a_{1}, \dots, a_{r})$ be a sequence of positive integers, $d \geq 2$ and $j \geq 1$ , some integers. We study the functions $p_{a, d} (n) :=$ the number of integer so…

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.CO2025

Remarks on $d$ -ary partitions and an application to elementary symmetric partitions

Mircea Cimpoeas, Roxana Tanase

We prove new formulas for $p_{d} (n)$ , the number of $d$ -ary partitions of $n$ , and, also, for its polynomial part. Given a partition $λ = (λ_{1}, \dots, λ_{ℓ})$ , its associated $j$ -th…

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

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

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

Special restricted partition functions for the stable sheaf cohomology on flag varieties

On the Stanley length of monomial ideals

Remarks on d-ary partitions and an application to elementary symmetric partitions

Remarks on $d$ -ary partitions and an application to elementary symmetric partitions