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math.AC2021
Some homological properties of Borel type ideals
Jürgen Herzog, Somayeh Moradi, Masoomeh Rahimbeigi +1
We study ideals of Borel type, including -Borel ideals and -spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity a…
math.AC2021
Rings of Teter type
Oleksandra Gasanova, Jürgen Herzog, Takayuki Hibi +1
Let be a Cohen--Macaulay local -algebra or a standard graded -algebra over a field with a canonical module . The trace of is the ideal of whi…
math.AC2021
Graded ideals of König type
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi
Inspired by the notion of König graphs we introduce graded ideals of König type with respect to a monomial order . It is shown that if is of König type, then the Cohen--Maca…