Gorenstein rings generated by strongly stable sets of quadratic monomials
Ralf Fr\"oberg, Lisa Nicklasson
TL;DR
This paper characterizes Gorenstein rings generated by strongly stable quadratic monomials and computes their Hilbert series, addressing a question posed by Migliore and Nagel.
Contribution
It provides a complete characterization of such Gorenstein rings and calculates their Hilbert series in various cases, advancing understanding in algebraic combinatorics.
Findings
Complete characterization of Gorenstein rings generated by strongly stable quadratic monomials
Computed Hilbert series for several cases of these rings
Answered a specific question by Migliore and Nagel
Abstract
We characterize all Gorenstein rings generated by strongly stable sets of monomials of degree two. We compute their Hilbert series in several cases, which also provides an answer to a question by Migliore and Nagel.
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