Products of idempotents in a quaternion ring
Abstract
Abstract Let 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.
Fields of Study & Subjects
Rings
Modules
and Algebras
Algebraic and Geometric Analysis
Advanced Topics in Algebra
Publication details
- Journal / source
- Mathematica Slovaca
- Volume
- 76
- Issue
- 4
- Pages
- 907–914
- Publication date
- 10 March 2026
- Language
- EN