منابع مشابه
Self-injective Algebras and the Second Hochschild Cohomology Group
In this paper we study the second Hochschild cohomology group HH(Λ) of a finite dimensional algebra Λ. In particular, we determine HH(Λ) where Λ is a finite dimensional self-injective algebra of finite representation type over an algebraically closed field K and show that this group is zero for most such Λ; we give a basis for HH(Λ) in the few cases where it is not zero.
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For the Auslander algebras E of self-injective Nakayama algebras, the Δ-filtrations of the submodules of indecomposable projective Emodules are determined, a class of Δ-filtered E-modules without selfextensions are constructed, and the Ringel dual of E is described. Mathematics Subject Classifications: 16G10
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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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Semigroups S for which the Banach algebra ℓ 1 (S) is injective are investigated and an application to the work of O. Yu. Aristov is described.
متن کاملPeriodic 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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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1973
ISSN: 0021-8693
DOI: 10.1016/0021-8693(73)90049-5