Abstract
In this work, we will prove Cayley theorem, using category theory. We will see a different proof than theone seen in a Group Theory course, in this case we will use a famous result in category theory called theYoneda lemma and then, to relate groups with such lemma we will take advantage of the fact that everygroup can be viewed as a category. This proof shows that Yoneda lemma is an extensive generalization ofCayley theorem for groups.
Original language | Spanish (Peru) |
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Pages (from-to) | 93 - 99 |
Journal | Selecciones Matemáticas |
Volume | 8 |
State | Published - 23 Apr 2021 |
Keywords
- Categories
- Functor
- Natural transformation
- Yoneda's Lemma
- Cayley's Theorem