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math.AC2018
Powers of Monomial Ideals and Combinatorics
Le Tuan Hoa
This is an exposition of some new results on associated primes and the depth of different kinds of powers of monomial ideals in order to show a deep connection between commutative…
math.AC2018
A note on Castelnuovo-Mumford regularity and Hilbert coefficients
Le Xuan Dung, Le Tuan Hoa
New upper and lower bounds on the Castelnuovo-Mumford regularity are given in terms of the Hilbert coefficients. Examples are provided to show that these bounds are in some sense n…