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math.AC2012★ 10 cited
Lexsegment ideals of Hilbert depth 1
Yi-Huang Shen
Let $I\subset S=\KK[x_1,...,x_n]$ be a lexsegment ideal, generated by monomials of degree . The main aim of this paper is to characterize when the Hilbert depth of will be 1…
math.AC2009★ 6 cited
On the Stanley Depth of Squarefree Veronese Ideals
Mitchel T. Keller, Yi-Huang Shen, Noah Streib +1
Let be a field and . In 1982, Stanley defined what is now called the Stanley depth of an -module , denoted $\sdepth(M)$, and conjectured that $\depth(M)…