Coverings and Truncations of Graded Selfinjective Algebras
Coverings and Truncations of Graded Selfinjective Algebras
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DOI：
10.1016/j.jalgebra.2012.01.009
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发表时间：
2010-02
期刊：
影响因子：
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通讯作者：
J. Guo
中科院分区：
文献类型：
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作者：
J. Guo
设Λ是分次自内射代数。我们描述了它与群Z的Smash积Λ#kZ_n，它的Beilinson代数以及它们之间的关系.从Λ出发，构造了具有有限整体维数的τ-片代数，证明了它们的平凡扩张都是同构的，并且它们的重复代数与Λ#kZ相同.τ-片代数存在类似BGP反射的τ-突变。
Let Λ be a graded self-injective algebra. We describe its smash product Λ#kZ⁎with the group Z, its Beilinson algebra and their relationship. Starting with Λ, we construct algebras with finite global dimension, called τ-slice algebras, we show that their trivial extensions are all isomorphic, and their repetitive algebras are the same as Λ#kZ⁎. There exist τ-mutations similar to the BGP reflections for the τ-slice algebras.