Commuting Nilpotent Operators and Maximal Rank
COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.4, sa.4, ss.901-904, 2010 (SCI-Expanded, Scopus)
- 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.