Isomorphism Classes of Algebras with Radical Cube Zero II |
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Authors: | Isao Kikumasa Kiyoichi Oshiro Hiroshi Yoshimura |
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Institution: | (1) Graduate School of Science and Engineering, Yamaguchi University, Yamaguchi 753-8512, Japan |
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Abstract: | 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.
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Keywords: | Algebras over a field Radical cubed zero Local quasi-Frobenius algebras |
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