Work

The multiplication probability of a finite ring

Year: 2025

Type: article

Abstract: 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.

Source: International Journal of Algebra and Computation

DOI: 10.1142/s021819672550016x

Author: David Dolžan

Institutions: University of Ljubljana, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Javna Agencija za Raziskovalno Dejavnost RS

Award: Algebra, operator theory and financial mathematics