Andreea I. Bordianu

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20212026

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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…