The structural property of dualizing complex is generalized and its applications are given to show that (1) over a ring possessing a dualizing complex, the conditions of Serre on the canonical module are connected with the local cohomologies of the ring itself; (2) the Cousin complexes of certain modules over a ring possessing a dualizing complex have finitely generated cohomologies; (3) a quotient of a Cohen-Macaulay local ring which satisfies (S 2 ) and admits canonical module, also possesses a dualizing complex. © 2001 Elsevier Science B.V. All rights reserved.
Dibaei, M. T., & Tousi, M. (2001). A generalization of the dualizing complex structure and its applications. Journal of Pure and Applied Algebra, 155(1), 17–28. https://doi.org/10.1016/S0022-4049(99)00160-7