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On the hochschild cohomology of truncated cycle algebras

 

作者: M.J. Bardzell,   Ana Claudia Locateli,   Eduardo N. Marcos,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 3  

页码: 1615-1639

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826917

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

The purpose of this paper is to study the Hochschild cohomology ringH*(⋀)of algebras of the form ⋀ =kZe/JN, where Zeis an oriented cycle with e vertices andJis the ideal generated by the arrows, N≥2. We provide a new description of the Yoneda product inH*(⋀). and prove that this is a finitely generated infinite dimensional ring. In addition we show that algebras of the form ⋀ =kZe/JNare not derived equivalent unless they are isomorphic.

 

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