A new characterization of Suškevič's problem on right zero divisors

Thumbnail
2019
Authors
Pucanović, Zoran
Conference object (Published version)
Metadata
Show full item record
Abstract
The description of right zero divisors in that ring is a very di cult problem that has not been resolved yet. We will prove the following characterization: An infinite upper triangular matrix over a field is a right zero divisor if and only if its generalized Jordan normal form contains a zero row.
Keywords:
Zero divisors / Infinite upper triangular matrices / Generalized Jordan normal form
Source:
X simpozijum "Matematika i primene", 2019
[ Google Scholar ]
URI
http://grafar.grf.bg.ac.rs/handle/123456789/1837
Collections
Institution
GraFar