On Simple-Minded Systems Over Representation-Finite Self-Injective Algebras
نویسندگان
چکیده
منابع مشابه
Periodic Resolutions and Self-injective Algebras of Finite Type
We say that an algebra A is periodic if it has a periodic projective resolution as an (A, A)bimodule. We show that any self-injective algebra of finite representation type is periodic. To prove this, we first apply the theory of smash products to show that for a finite Galois covering B → A, B is periodic if and only if A is. In addition, when A has finite representation type, we build upon res...
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Article history: Received 20 March 2009 Available online 9 June 2009 Communicated by Michel Van den Bergh Dedicated to Professor Helmut Lenzing on the occasion of his seventieth birthday
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2021
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-021-10056-8