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THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS.
- Source :
-
Bulletin of the Australian Mathematical Society . Aug2022, Vol. 106 Issue 1, p83-88. 6p. - Publication Year :
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE rings
*MULTIPLICATION
Subjects
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 106
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 157913940
- Full Text :
- https://doi.org/10.1017/S0004972721001246