The multiplication probability of a finite ring
We study the probability that the product of two randomly chosen elements in a finite ring R is equal to some fixed element [Formula: see text]. We calculate this probability for semisimple rings and some special classes of local rings, and find the bounds for this probability for an arbitrary finite ring.
Authors
- David Dolžan (ORCID: https://orcid.org/0000-0001-6548-3945)
Institutions
- University of Ljubljana (SI)
- Institute of Mathematics, Physics, and Mechanics (SI)
Publication Details
- Journal
- International Journal of Algebra and Computation
- Published
- 2025-04-26
- DOI
- https://doi.org/10.1142/s021819672550016x
- Citations
- 1
- Primary Topic
- Mathematical and Theoretical Analysis
- Type
- article
- Field-Weighted Citation Impact
- 3.69