3 papers
math.AC2011
Generalized Koszul resolutions
Satoshi Mochizuki, Akiyoshi Sannai
The main objective of this paper is to generalize a notion of Koszul resolutions and charcterizing modules which admits such a resolution. We turn out that for a noetherian ring $A…
math.AC2011
Higher K-theory of polynomial categories
Satoshi Mochizuki, Akiyoshi Sannai
The main theorem in this paper is that the base change functor from an abelian category $\cA$ to its polynomial category in the sense of Schlichting $-\otimes_{\cA}\bbZ[t]:\cA \to…
math.AC2011
F-signature of graded Gorenstein rings
Akiyoshi Sannai, Kei-ichi Watanabe
For a commutative ring , the -signature was defined by Huneke and Leuschke \cite{H-L}. It is an invariant that measures the order of the rank of the free direct summand of $R…