5 citations · 11 across the 11 of their papers we have counts for
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math.AC2012
On the radical of multigraded modules
Viviana Ene, Ryota Okazaki
We define a functor $\rr^\ast$ from the category of positively determined modules to the category of squarefree modules which plays the role of passing from a monomial ideal to its…
math.AC2012★ 2 cited
Toric rings arising from cyclic polytopes
Takayuki Hibi, Akihiro Higashitani, Lukas Katth"an +1
In the present paper, we consider the problem when the toric ring arising from an integral cyclic polytope is Cohen-Macaulay by discussing Serre's condition and we give a complete…
math.CO2012★ 5 cited
Normal cyclic polytopes and cyclic polytopes that are not very ample
Takayuki Hibi, Akihiro Higashitani, Lukas Katthän +1
Let and be positive integers with and integers with . Let $C_{d}(τ_{1}, ..., τ_{n}) \subset \RR^{d}$ denote the cycl…