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

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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

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X simpozijum "Matematika i primene", 2019##### Collections

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GraFarTY - 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)

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