Abstract
For a positively graded artin algebra A = ⊕ n ⩾ 0 A n we introduce its Beilinson algebra b ( A ) . We prove that if A is well-graded self-injective, then the category of graded A-modules is equivalent to the category of graded modules over the trivial extension algebra T ( b ( A ) ) . Consequently, there is a full exact embedding from the bounded derived category of b ( A ) into the stable category of graded modules over A; it is an equivalence if and only if the 0-th component algebra A 0 has finite global dimension.
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