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 2024 · math.ACShow all

7 papers · 2 filters

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.

math.AC2024

Comparing Hilbert depth of $I$ with Hilbert depth of $S / I$ . III

Andreea I. Bordianu, Mircea Cimpoeas

Let $I$ be a squarefree monomial ideal of $S = K [x_{1}, \dots, x_{n}]$ . We prove that if $hdepth (S / I) \leq 8$ or $n \leq 10$ then $\operatorname{hdepth}(I)\geq \operatorname{…

math.AC2024

Graded Betti numbers of powers of path ideals of paths

Silviu Balanescu, Mircea Cimpoeas, Thanh Vu

Let $I_{n, m} = (x_{1} \dots x_{m}, x_{2} \dots x_{m + 1}, \dots, x_{n + 1} x_{n + 2} \dots x_{n + m})$ be the $m$ -path ideal of a path of length $n + m - 1$ over a polynomial ring $S = \mathrm{k}[…

math.AC2024

Betti numbers of powers of path ideals of cycles

Silviu Balanescu, Mircea Cimpoeas, Thanh Vu

Let $J_{n, m} = (x_{1} \dots x_{m}, x_{2} \dots x_{m + 1}, \dots, x_{n} x_{1} \dots x_{m - 1})$ be the $m$ -path ideal of a cycle of length $n \geq 5$ over a polynomial ring $S = k[x_1,\ldots,x_n…

math.AC2024

Comparing Hilbert depth of $I$ with Hilbert depth of $S / I$ . II

Andreea I. Bordianu, Mircea Cimpoeas

Let $I$ be a squarefree monomial ideal of $S = K [x_{1}, \dots, x_{n}]$ . We prove that if $hdepth (S / I) \leq 6$ of $n \leq 9$ then $\operatorname{hdepth}(I)\geq \operatorname{h…

math.AC2024

Comparing Hilbert depth of $I$ with Hilbert depth of $S / I$

Andreea I. Bordianu, Mircea Cimpoeas

Let $I$ be a monomial ideal of $S = K [x_{1}, \dots, x_{n}]$ . We show that the following are equivalent: (i) $I$ is principal, (ii) $hdepth (I) = n$ , (iii) $\operatorname{hdept…

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

Comparing Hilbert depth of I with Hilbert depth of S/I. III

Graded Betti numbers of powers of path ideals of paths

Betti numbers of powers of path ideals of cycles

Comparing Hilbert depth of I with Hilbert depth of S/I. II

Comparing Hilbert depth of I with Hilbert depth of S/I

Comparing Hilbert depth of $I$ with Hilbert depth of $S / I$ . III

Comparing Hilbert depth of $I$ with Hilbert depth of $S / I$ . II

Comparing Hilbert depth of $I$ with Hilbert depth of $S / I$