Geodesic
How Fields Can have a Product
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 253-254

Voir la notice de l'article provenant de la source Cambridge University Press

Let k be a field. Two field extensions E, F of k are said to have a product- in the category of field extensions of k (see e.g. [1, p. 30]) if and only if there exist a field extension P of k and two k -isomorphisms P→ E, P→ F satisfying the following universal property. For any field extension K of k and any pair of k-isomorphisms K→E, K→F, there exists a unique k-isomorphism K→P such that the diagrams below commute. 
Zorzitto, Frank. How Fields Can have a Product. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 253-254. doi: 10.4153/CMB-1978-045-7
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[1] 1. Lang, Serge Algebra (Addison-Wesley 1965). Google Scholar

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