Mihai Cipu

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20082025

D (- 1)

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22 citations · 40 across the 5 of their papers we have counts for

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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.AC2010★ 6 cited

On the Behaviour of Stanley Depth under Variable Adjunction

Mihai Cipu, Muhammad Imran Qureshi

Let $S = K [x_{1}, ..., x_{n}]$ be a polynomial ring in $n$ variables over the field $K$ . For integers $1 \leq t < n$ consider the ideal $I = (x_{1}, ..., x_{t}) \cap (x_{t + 1}, ..., x_{n})$ in $S$ . In thi…