2 problems

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Characteristic-two generalization of the alternating-form equality theorem
Characteristic-two generalization conjecture. Theorem 2 (the equality theorem for alternating bilinear forms) can be generalized to all fields with characteristic $2$ .
Conjectureopenbilinear-forms characteristic-two nilpotent-subspacesarXiv posted 2 days ago
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The alternating-form symmetric-operator equality conjecture
Alternating-form symmetric-operator equality conjecture. There exists a maximal partially complete $b$ -singular flag $\mathcal{F}$ of $V$ such that
Conjectureopenbilinear-forms linear-algebra nilpotent-subspacesarXiv posted 2 days ago

Characteristic-two generalization of the alternating-form equality theorem