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THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS
Published online by Cambridge University Press: 24 January 2022
Abstract
Let R be a finite ring and let ${\mathrm {zp}}(R)$ denote the nullity degree of R, that is, the probability that the multiplication of two randomly chosen elements of R is zero. We establish the nullity degree of a semisimple ring and find upper and lower bounds for the nullity degree in the general case.
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- Research Article
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
The author acknowledges financial support from the Slovenian Research Agency (research core funding no. P1-0222).
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