Change of grading, injective dimension and dualizing complexes

ANDREA SOLOTAR; PABLO ZADUNAISKY

COMMUNICATIONS IN ALGEBRA

TAYLOR & FRANCIS INC

Lugar: Londres; Año: 2018 vol. 46 p. 4414 - 4425

0092-7872

Let G, H be groups, ϕ : G → H a group morphism, and A a G-graded algebra. The morphism ϕ induces an H-grading on A, and on any G-graded A-module, which thus becomes an H-graded A-module. Given an injective G-graded A-module, we give bounds for its injective dimension when seen as H-graded A-module. Following ideas by Van den Bergh, we give an application of our results to the stability of dualizing complexes through change of grading.