Commuting Nilpotent Operators and Maximal Rank

ÖZTÜRK S.

COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.4, sa.4, ss.901-904, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s11785-009-0029-x
  • Dergi Adı: COMPLEX ANALYSIS AND OPERATOR THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.901-904
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Let X, (X) over tilde be commuting nilpotent matrices over k with nilpotency p(t), where k is an algebraically closed field of positive characteristic p. We show that if X - (X) over tilde is a certain linear combination of products of pairwise commuting nilpotent matrices, then X is of maximal rank if and only if (X) over tilde is of maximal rank.