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math.AC2023★ 1 cited
Ideals and their Fitting ideals
David Eisenbud, Antonino Ficarra, Jürgen Herzog +1
For an ideal in a Noetherian ring , the Fitting ideals are studied. We discuss the question of when or $\sqrt{\textrm{Fitt}_j(I)}…
math.AC2023★ 1 cited
Normal Rees algebras arising from vertex decomposable simplicial complexes
Somayeh Moradi
We show that for a vertex decomposable simplicial complex , the Rees algebra of is a normal Cohen-Macaulay domain. As consequences, we show that any squarefree we…
math.AC2023★ 1 cited
Ideals with componentwise linear powers
Takayuki Hibi, Somayeh Moradi
Let be the polynomial ring over a field , and let be a finitely generated standard graded -algebra. We show that if the defining ideal of has a…