Geodesic
Self-Injective Rings
Canadian mathematical bulletin, Tome 2 (1959) no. 3, pp. 167-173

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

Historically, the first example of a ring of quotients was the quotient field of an integral domain. Later on, conditions were found under which a noncommutative integral domain has a quotient division ring. More recently, R.E. Johnson [4], Y. Utumi [5], and G.D. Findlay and J. Lambek [3] have discussed the existence and structure of a maximal ring of quotients of any ring.The present paper uses the methods of Findlay and Lambek to recast the results of Johnson on the quotient ring of a ring with zero singular ideal. It is also shown that such a ring has a unique left-right maximal ring of quotients. 
Wong, E.T.; Johnson, R.E. Self-Injective Rings. Canadian mathematical bulletin, Tome 2 (1959) no. 3, pp. 167-173. doi: 10.4153/CMB-1959-022-9
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[1] 1. Eckmann, B. and Schopf, A., ?ber injektive Moduln, Archiv derMath. 4 (1953), 75-78. Google Scholar

[2] 2. Cartan, H. and Eilenberg, S, Homological algebra, (Princeton, 1956). Google Scholar

[3] 3. Findlay, G.D. and Lambek, J., A generalized ring of quotients I, H, Can. Math. Bull. 1 (1958), 77-85, 155-167. Google Scholar

[4] 4. Johnson, R.E., The extended centralizer of a ring over a module, Proc. Amer. Math. Soc. 2 (1951), 891-895. Google Scholar

[5] 5. Johnson, R.E., Structure theory of faithful rings II, Trans. Amer. Math. Soc. 84 (1957), 523-542. Google Scholar

[6] 6. Utumi, Y., On quotient rings, Osaka Math. J. 8 (1956), 1-18. Google Scholar

[7] 7. von Neumann, J., On regular rings, Proc. Nat. Acad. Sci. U.S.A. 22 (1936), 707-713. Google Scholar

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