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math.AC2020
Gorenstein rings generated by strongly stable sets of quadratic monomials
Ralf Fröberg, Lisa Nicklasson
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 t…
math.AC2020★ 7 cited
On decomposing monomial algebras with the Lefschetz properties
Oleksandra Gasanova, Samuel Lundqvist, Lisa Nicklasson
We introduce a general technique for decomposing monomial algebras which we use to study the Lefschetz properties. We apply our technique to various classes of algebras, including…