Geodesic
Algebraically Closed Regular Rings
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1036-1049

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

In this paper all rings are commutative and have a unity. All ring homomorphisms preserve the unity. We let L denote the standard language for rings with two distinct constants, 0 and 1, playing the role of the zero and the unity respectively. A ring is regular if it satisfies the axiom (∀r) (∃r′)(rr′r = r) and it is algebraically closed if, for each integer n ≧ 1, it satisfies the sentence 
Carson, Andrew B. Algebraically Closed Regular Rings. Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1036-1049. doi: 10.4153/CJM-1974-097-x
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