Title 



Dualizing complexes of noetherian complete algebras via coalgebras
 
Author 



 
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 ArtinSchelter regular, then the local cohomology of A is isomorphic to a shift of twisted bimodule C1(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 CalabiYau. An appendix is included to prove a duality theorem of the bounded derived category of quasifinite comodules over an artinian coalgebra.   
Language 



English
 
Source (journal) 



Communications in algebra.  New York, N.Y.  
Publication 



New York, N.Y. : 2014
 
ISSN 



00927872
 
Volume/pages 



42:1(2014), p. 271285
 
ISI 



000325788500020
 
Full text (Publisher's DOI) 


  
