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- W4288563722 abstract "We obtain a sharp upper bound for the length of arbitrary non-associative algebra and present an example demonstrating the sharpness of our bound. To show this we introduce a new method of characteristic sequences based on linear algebra technique. This method provides an efficient tool for computing the length function in non-associative case. Then we apply the introduced method to obtain an upper bound for the length of an arbitrary locally complex algebra. We also show that the obtained bound is sharp. In the last case the length is bounded in terms of Fibonacci sequence." @default.
- W4288563722 created "2022-07-29" @default.
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- W4288563722 date "2019-02-22" @default.
- W4288563722 modified "2023-09-26" @default.
- W4288563722 title "Upper bounds for the length of non-associative algebras" @default.
- W4288563722 doi "https://doi.org/10.48550/arxiv.1902.08389" @default.
- W4288563722 hasPublicationYear "2019" @default.
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