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memoria.pdf (724.87 KB)

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Bachelor thesis

Publication date

2016-06-27

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cc-by-nc-nd (c) Adriana Moya Viñas, 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/109960

Aritmètica en l'anell dels quaternions de Hurwitz

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Abstract

This 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.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Pilar Bayer i Isant

Subject

Quaternions, Treballs de fi de grau, Anells associatius, Àlgebres no commutatives

Subject (English)

Quaternions, Bachelor's theses, Associative rings, Noncommutative algebras

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

MOYA VIÑAS, Adriana. Aritmètica en l'anell dels quaternions de Hurwitz. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/109960

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