Kohji Yanagawa

activity

19982005

most citedNotes on C-graded modules over an affine semigroup ring K[C]

1 citations · 1 across the 6 of their papers we have counts for

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math.AC2008★ 1 cited

Dualizing complex of a toric face ring

Ryota Okazaki, Kohji Yanagawa

A "toric face ring", which generalizes both Stanley-Reisner rings and affine semigroup rings, is studied by Bruns, Roemer and their coauthors recently. In this paper, under the "no…

math.AC2007

Linearity Defect and Regularity over a Koszul Algebra

Kohji Yanagawa

Let A be a Koszul algebra, and $m o d A$ the category of finitely generated graded left A-modules. The "linearity defect" ld_A(M) of $M \in m o d A$ is an invariant defined by Herzog a…

math.AC2005★ 1 cited

Notes on C-graded modules over an affine semigroup ring K[C]

Kohji Yanagawa

Let $C \subset N^{d}$ be an affine semigroup, and $R = K [C]$ its semigroup ring. This paper is a collection of various results on " $C$ -graded" $R$ -modules, especially, monomial i…

math.AC2005

Castelnuovo-Mumford regularity for complexes and weakly Koszul modules

Kohji Yanagawa

Let A be a noetherian AS regular Koszul quiver algebra (if A is commutative, it is essentially a polynomial ring), and grA the category of finitely generated graded left A-modules.…

math.AC2004

BGG correspondence and Roemer's theorem on an exterior algebra

Kohji Yanagawa

Let E = K< y_1, ..., y_n > be the exterior algebra. The ``(cohomological) distinguished pairs" of a graded E-module M describe the growth of a minimal graded injective resolution o…

math.AC2003

Derived Category of Squarefree Modules and Local Cohomology with Monomial Ideal Support

Kohji Yanagawa

A "squarefree module" over a polynomial ring $S = k [x_{1}, .., x_{n}]$ is a generalization of a Stanley-Reisner ring, and allows us to apply homological methods to the study of monomia…