E-resources
PDF-
Dukes, Peter J.; Martínez-Rivera, Xavier
Special matrices, 01/2022, Volume: 10, Issue: 1Journal Article
The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix ∈ 𝔽 is defined as ℓ · · · ℓ , where ℓ ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order of are nonzero. Building upon the second author’s recent classification of the epr-sequences of symmetric matrices over the field 𝔽 = 𝔽 , we initiate a study of the case 𝔽= 𝔽 . Moreover, epr-sequences over finite fields are shown to have connections to Ramsey theory and coding theory.
