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
TY - CONF
AU - Pucanović, Zoran
PY - 2019
UR - http://grafar.grf.bg.ac.rs/handle/123456789/1837
AB - 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.
C3 - X simpozijum "Matematika i primene"
T1 - A new characterization of Suškevič's problem on right zero divisors
ER -
@conference{
author = "Pucanović, Zoran",
year = "2019",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/1837",
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.",
journal = "X simpozijum "Matematika i primene"",
title = "A new characterization of Suškevič's problem on right zero divisors"
}
Pucanović, Z. (2019). A new characterization of Suškevič's problem on right zero divisors.
X simpozijum "Matematika i primene".
Pucanović Z. A new characterization of Suškevič's problem on right zero divisors. X simpozijum "Matematika i primene". 2019;
Pucanović Zoran, "A new characterization of Suškevič's problem on right zero divisors" X simpozijum "Matematika i primene" (2019)
