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Showing 2009 · math.ACShow all
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math.AC2009
The Betti polynomials of powers of an ideal
Juergen Herzog, Volkmar Welker
For an ideal in a regular local ring or a graded ideal in the polynomial ring we study the limiting behavior of the Betti numbers of S/I^k as k goes to infinity. By Kodiyal…
math.AC2009★ 6 cited
Binomial edge ideals and conditional independence statements
Juergen Herzog, Takayuki Hibi, Freyja Hreinsdottir +2
We introduce binomial edge ideals attached to a simple graph and study their algebraic properties. We characterize those graphs for which the quadratic generators form a Gröbne…