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Let $$S={\textsf {k}}[X_1,\dots , X_n]$$ S = k [ X 1 , ⋯ , X n ] be a polynomial ring, where $${\textsf {k}}$$ k is a field. This article… Click to show full abstract
Let $$S={\textsf {k}}[X_1,\dots , X_n]$$ S = k [ X 1 , ⋯ , X n ] be a polynomial ring, where $${\textsf {k}}$$ k is a field. This article deals with the defining ideal of the Rees algebra of a squarefree monomial ideal generated in degree $$n-2$$ n - 2 . As a consequence, we prove that Betti numbers of powers of the cover ideal of the complement graph of a tree do not depend on the choice of the tree. Further, we study the regularity and Betti numbers of powers of cover ideals associated to certain graphs.
Keywords:
algebra betti;
regularity rees;
rees algebra;
betti numbers;
cover ideals
Journal Title: Archiv der Mathematik
Year Published: 2020
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Journal Title: Archiv der Mathematik
Year Published: 2020
Link to full text (if available)
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recommendations!