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

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2019
bitstream_7049.pdf (83.24Kb)
Authors
Pucanović, Zoran
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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
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URI
http://grafar.grf.bg.ac.rs/handle/123456789/1837
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  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
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GraFar

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