Bayer i Isant, Pilar, 1946-Moya Viñas, Adriana2017-04-242017-04-242016-06-27https://hdl.handle.net/2445/109960Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Pilar Bayer i IsantThis work begins with a brief study of quaternion algebras in order to introduce the division algebra of Hamilton’s quaternions. Then we proceed to describe the ring of Hurwitz integers, named after his author, and to study the main properties of it. Finally, using all the previous theory, we prove some results to stress the importance of this ring.82 p.application/pdfcatcc-by-nc-nd (c) Adriana Moya Viñas, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/esQuaternionsTreballs de fi de grauAnells associatiusÀlgebres no commutativesQuaternionsBachelor's thesesAssociative ringsNoncommutative algebrasAritmètica en l'anell dels quaternions de Hurwitzinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess