Partial Coxeter functors and stable equivalences for self-injective algebras
نویسندگان
چکیده
منابع مشابه
On Stable Equivalences Induced by Exact Functors
Let A and B be two Artin algebras with no semisimple summands. Suppose that there is a stable equivalence α between A and B such that α is induced by exact functors. We present a nice correspondence between indecomposable modules over A and B. As a consequence, we have the following: (1) If A is a self-injective algebra, then so is B; (2) If A and B are finite dimensional algebras over an algeb...
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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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It has recently become clear that a whole range of problems of linear algebra can be formulated in a uniform way, and in this common formulation there arise general effective methods of investigating such problems. It is interesting that these methods turn out to be connected with such ideas as the Coxeter—Weyl group and the Dynkin diagrams. We explain these connections by means of a very simpl...
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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: Tsukuba Journal of Mathematics
سال: 1985
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496160201