80 citations · 91 across the 19 of their papers we have counts for
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Local cohomologies of isolated non F-rational singularities
Yukihide Takayama
In this paper, we consider positively graded isolated non F-rational singularities (R,m) with d=dim R over the field K of positive characteristic. We give a representation of lower…
Generalized complete intersections with linear resolutions
Munetaka Okudaira, Yukihide Takayama
We determine the simplicial compleses whose Stanley-Reisner ideals have the following property: for all the powers have linear resolutions and finite le…
Componentwise linear ideals with minimal or maximal Betti numbers
Juergen Herzog, Takayuki Hibi, Satoshi Murai +1
We characterize componentwise linear monomial ideals with minimal Taylor resolution and consider the lower bound for the Betti numbers of componentwise linear ideals.
Monomial ideals with linear quotients whose Taylor resolutions are minimal
Munetaka Okudaira, Yukihide Takayama
We study when Taylor resolutions of monomial ideals are minimal. We consider monomial ideals with linear quotients. In particular, we determine precisely the stable ideals and the…
Stanley-Reisner ideals whose powers have finite length cohomologies
Shiro Goto, Yukihide Takayama
We introduce a class of Stanley-Reisner ideals called generalized complete intersection, which is characterized by the property that all the residue class rings of powers of the id…
Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals
Yukihide Takayama
We give a generalization of Hochster's formula for local cohomologies of square-free monomial ideals to monomial ideals, which are not necessarily square-free. Using this formula,…