On graded global dimension of color Hopf algebras. (English) Zbl 1218.16023

Summary: We prove the fundamental theorem of color Hopf module similar to the fundamental theorem of Hopf module. As an application, we prove that the graded global dimension of a color Hopf algebra coincides with the projective dimension of the trivial module \(\mathbb K\).


16T05 Hopf algebras and their applications
16E10 Homological dimension in associative algebras
16W50 Graded rings and modules (associative rings and algebras)
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