[HTML][HTML] Applications and homological properties of local rings with decomposable maximal ideals
We construct a local Cohen–Macaulay ring R with a prime ideal p∈ Spec (R) such that R
satisfies the uniform Auslander condition (UAC), but the localization R p does not satisfy …
satisfies the uniform Auslander condition (UAC), but the localization R p does not satisfy …
Homological invariants of powers of fiber products
HD Nguyen, T Vu - Acta Mathematica Vietnamica, 2019 - Springer
Let R and S be polynomial rings of positive dimensions over a field k. Let I⊆ R, J⊆ S be non-
zero homogeneous ideals none of which contains a linear form. Denote by F the fiber …
zero homogeneous ideals none of which contains a linear form. Denote by F the fiber …
On semidualizing modules of ladder determinantal rings
S Sather-Wagstaff, T Se, S Spiroff - 2019 - projecteuclid.org
We identify all semidualizing modules over certain classes of ladder determinantal rings
over a field k. Specifically, given a ladder of variables Y, we show that the ring k [Y]/I t (Y) has …
over a field k. Specifically, given a ladder of variables Y, we show that the ring k [Y]/I t (Y) has …
[HTML][HTML] Totally reflexive modules and Poincaré series
M Gheibi, R Takahashi - Journal of Algebra, 2019 - Elsevier
Abstract We study Cohen–Macaulay non-Gorenstein local rings (R, m, k) admitting certain
totally reflexive modules. More precisely, we give a description of the Poincaré series of k by …
totally reflexive modules. More precisely, we give a description of the Poincaré series of k by …
[引用][C] Overview. My research is in the area of commutative algebra and focuses on its applications to neighboring fields. My work can be divided into three themes …
J LYLE