Isomorphic trivial extensions of finite dimensional algebras

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• 作者：E.A. Ferná ; ndez and M.I. Platzeck
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2006
• 出版时间：2006
• 年：2006
• 卷：204
• 期：1
• 页码：9-20
• 全文大小：157 K

文摘

Let Λ be a finite dimensional algebra over an algebraically closed field such that any oriented cycle in the ordinary quiver of Λ is zero in Λ. Let abcf16e89a1ab85776874c"" title=""Click to view the MathML source"">T(Λ)=ΛD(Λ) be the trivial extension of Λ by its minimal injective cogenerator D(Λ). We characterize, in terms of quivers and relations, the algebras Λ^′ such that T(Λ)T(Λ^′).