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math.RA2023
On the lengths of Okubo algebras
Alexander Guterman, Svetlana Zhilina
We compute the lengths of two particular cases of (possibly non-unital) composition algebras, namely, standard composition algebras and Okubo algebras over an arbitrary field $\mat…
math.RA2023
On the lengths of descendingly flexible and descendingly alternative algebras
Alexander Guterman, Svetlana Zhilina
We introduce the classes of descendingly flexible and descendingly alternative algebras over an arbitrary field . We suggest a new method based on the sequence of diffe…