Products of idempotents in a quaternion ringDolžan, David (Avtor) finite ringsidempotentquaternionsmatricesLet $R$ be a finite commutative local principal ring, and let $H(R)$ denote the corresponding quaternion ring. We show that an element of $H(R)$ is a product of idempotents if and only if it can be expressed as a product of two idempotents. Moreover, we obtain an explicit formula for the number of elements of $H(R)$ admitting such a factorization.20262026-10-07 15:49:56Članek v reviji189475UDK: 512ISSN pri članku: 0139-9918DOI: 10.1515/ms-2025-1151COBISS_ID: 271274243sl