A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field
Joint Authors
Song, Xiaofei
Zheng, Baodong
Cao, Chongguang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-11
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Let K be an arbitrary field and X a square matrix over K.
Then X is sum of two square nilpotent matrices over K if and only if, for every algebraic extension L of K and arbitrary nonzero α∈L, there exist idempotent matrices P1 and P2 over L such that X=αP1−αP2.
American Psychological Association (APA)
Song, Xiaofei& Zheng, Baodong& Cao, Chongguang. 2013. A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-1012663
Modern Language Association (MLA)
Song, Xiaofei…[et al.]. A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field. The Scientific World Journal No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-1012663
American Medical Association (AMA)
Song, Xiaofei& Zheng, Baodong& Cao, Chongguang. A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-1012663
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1012663
