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math.RA2008
Zero-nonzero patterns for nilpotent matrices over finite fields
Kevin N. Vander Meulen, Adam Van Tuyl
Fix a field F. A zero-nonzero pattern A is said to be potentially nilpotent over F if there exists a matrix with entries in F with zero-nonzero pattern A that allows nilpotence. In…
math.AC2008
Splittings of monomial ideals
Christopher A. Francisco, Huy Tai Ha, Adam Van Tuyl
We provide some new conditions under which the graded Betti numbers of a monomial ideal can be computed in terms of the graded Betti numbers of smaller ideals, thus complementing E…