Document Server@UHasselt >
Research publications >
Please use this identifier to cite or link to this item:
|Title: ||DUALIZING COMPLEXES OF NOETHERIAN COMPLETE ALGEBRAS VIA COALGEBRAS|
|Authors: ||He, J. -W.|
Van Oystaeyen, F.
|Issue Date: ||2014|
|Citation: ||COMMUNICATIONS IN ALGEBRA, 42 (1), p. 271-285|
|Abstract: ||Let A be a noetherian complete basic semiperfect algebra over an algebraically closed field, and C=A degrees be its dual coalgebra. If A is Artin-Schelter regular, then the local cohomology of A is isomorphic to a shift of twisted bimodule C-1(sigma*) with sigma a coalgebra automorphism. This yields that the balanced dualinzing complex of A is a shift of the twisted bimodule (sigma*)A(1). If sigma is an inner automorphism, then A is Calabi-Yau. An appendix is included to prove a duality theorem of the bounded derived category of quasi-finite comodules over an artinian coalgebra.|
|Notes: ||Torrecillas, B (reprint author), Univ Almeria, Dept Algebra & Anal, E-04071 Almeria, Spain.
|ISI #: ||000325788500020|
|Type: ||Journal Contribution|
|Validation: ||ecoom, 2014|
|Appears in Collections: ||Research publications|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.