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math.AC2015
Stability of Betti numbers under reduction processes: towards chordality of clutters
Mina Bigdeli, Ali Akbar Yazdan Pour, Rashid Zaare-Nahandi
For a given clutter , let be the circuit ideal in the polynomial ring . In this paper, we show that the Betti numbers of and $I + (…
math.AC2015
Candidates for non-zero Betti numbers of monomial ideals
Ali Akbar Yazdan Pour
Let be a monomial ideal in the polynomial ring generated by elements of degree at most . In this paper, it is shown that, if the -th syzygy of has no element of d…