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Derived representation type and cleaving functors

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ABSTRACT We introduce the notation of weakly derived tameness, and establish the equivalence of derived tameness and weakly derived tameness for algebras of finite global dimension. Moreover, we observe the… Click to show full abstract

ABSTRACT We introduce the notation of weakly derived tameness, and establish the equivalence of derived tameness and weakly derived tameness for algebras of finite global dimension. Moreover, we observe the relation between derived representation type and cleaving functors, and obtain a method to judge an algebra to be derived wild. As an application, we determine the derived representation type of self-injective Nakayama algebras.

Keywords: representation type; type cleaving; derived representation; cleaving functors

Journal Title: Communications in Algebra
Year Published: 2018

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