2022
DOI: 10.1017/s0004972721001246
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The Probability of Zero Multiplication in Finite Rings

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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Cited by 2 publications
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