Isomorphism Classes of Algebras with Radical Cube Zero II

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• 作者：Isao Kikumasa ; Kiyoichi Oshiro and Hiroshi Yoshimura
• 关键词：Algebras over a field ; Radical cubed zero ; Local quasi ; Frobenius algebras
• 刊名：Applied Categorical Structures
• 出版年：2008
• 出版时间：April, 2008
• 年：2008
• 卷：16
• 期：1-2
• 页码：297-310
• 全文大小：359.0 KB

文摘

We study to classify, up to isomorphism, algebras Λ over a field k such that the radical cubed is zero and Λ modulo the radical is a product of copies of k. The number of local quasi-Frobenius k-algebras with the condition is shown to be not less than the cardinality of k. In particular, the canonical forms of those algebras of dimension 5 are presented and their isomorphism classes are completely determined under some conditions on k.