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<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="https://repozitorij.uni-lj.si/IzpisGradiva.php?id=189475"><dc:title>Products of idempotents in a quaternion ring</dc:title><dc:creator>Dolžan,	David	(Avtor)
	</dc:creator><dc:subject>finite rings</dc:subject><dc:subject>idempotent</dc:subject><dc:subject>quaternions</dc:subject><dc:subject>matrices</dc:subject><dc:description>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.</dc:description><dc:date>2026</dc:date><dc:date>2026-10-07 15:49:56</dc:date><dc:type>Članek v reviji</dc:type><dc:identifier>189475</dc:identifier><dc:language>sl</dc:language></rdf:Description></rdf:RDF>
