A Non-Trivial Ring with Non-Rational Injective Hull
Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 275-282

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

Several authors have investigated "rings of quotients" of a given ring R . (See, for example, Johnson [7], Johnson and Wong [8], Utumi [11], Findlay and Lambek [5], Lambek [9], and Bourbaki [2].)
Berthiaume, P. A Non-Trivial Ring with Non-Rational Injective Hull. Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 275-282. doi: 10.4153/CMB-1967-027-9
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[1] 1. Baer, R., Abelian groups that are direct summands of every containing Abelian group. Bull. Amer. Math. Soc. 46 (1944), p. 800-806. Google Scholar

[2] 2. Bourbaki, N., Elèments de Mathèmatique. Vol. 29, Paris (1966). Google Scholar

[3] 3. Cartan, H. and Eilenberg, S., Homological Algebra. Princeton University Press (1955). Google Scholar

[4] 4. Eckmann, B. and Schopf, A., Überinjektive Moduln. Arch. Math. 4 (1955), pages 75-78. Google Scholar

[5] 5. Findlay, G. D. and Lambek, J., A generalized ring of quotients. Can. Math. Bull. 1 (1955), pages 77-85, 155-167. Google Scholar

[6] 6. Johnson, R. E., The extended centralizer of a ring over a module. Proc. Amer. Math. Soc. 2 (1955), pages 891-895. Google Scholar

[7] 7. Johnson, R. E., Quotient rings of rings with zero singular ideal. Pacific J. Math. 11 (1966), pages 1385-1395. Google Scholar

[8] 8. Johnson, R. E. and Wong, E. T., Self-injective rings. Can. Math. Bull. 2 (1955), pages 167-174. Google Scholar

[9] 9. Lambek, J., On Utumi′s ring of quotients. Can. J.Math. 15 (1966), pages 363-370. Google Scholar

[10] 10. Osofsky, B. L., On ring properties of injective hulls. Can. Math. Bull. 7 (1966), pages 405-413. Google Scholar

[11] 11. Utumi, Y., On quotient rings. Osaka Math. J. 8 (1955), pages 1-18. Google Scholar

[12] 12. Utumi, Y., On a theorem on modular lattices. Proc. Japa. Acad. 35 (1955), pages 16-21. Google Scholar

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