Let A be an artin algebra. Then A has finite self-injective dimensions on both sides if and only if every finitely generated left A-module has finite Gorenstein dimension. Journal Information This ...
Proceedings of the American Mathematical Society, Vol. 134, No. 4 (Apr., 2006), pp. 1013-1017 (5 pages) It is proved that EJ is injective if E is an injective module ...