3 papers
math.AC2024
Affine Semigroup Algebras And Their Fibered Sums
C-Y. Jean Chan, I-Chiau Huang, Jung-Chen Liu
We study affine semigroup rings as algebras over subsemigroup rings. From this relative viewpoint with respect to a given subsemigroup ring, the fibered sum of two affine semigroup…
math.AC2006
Buchsbaum-Rim Multiplicities as Hilbert-Samuel Multiplicities
C-Y. Jean Chan, Jung-Chen Liu, Bernd Ulrich
Over a regular local ring of dimension two with maximal ideal m, we study the Buchsbaum-Rim multiplicity of a finitely generated module M of finite colength in a free module F. Fir…
math.AC2005
The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomology
J. C. Liu, M. W. Rogers
We prove that if M is a finitely-generated module of dimension d with finite local cohomologies over a Noetherian local ring, and if the ith local cohomology module of M is zero un…