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math.AC2025
On the Stanley length of monomial ideals
Mircea Cimpoeas
Let be the ring of polynomials in variables over an arbitrary field . Given a finitely generated multigraded module , its Stanley length, denoted by…
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 and be the edge ideal of star graph. We prove that $\operatorname{hdepth}(S_n/I_n)\geq \left\lceil \frac{n}{2…