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Localizations in categories of modules. I

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References

  1. Cartan, H., Eilenberg, S.: Homological algebra. Princeton: University Press 1956.

    Google Scholar 

  2. Freyd, P.: Abelian categories. New York: Harper and Row 1964.

    Google Scholar 

  3. Gabriel, P.: Des catégories abéliennes. Bull. Soc. Math. France90, 323–448 (1962).

    Google Scholar 

  4. —, Popesco, N.: Caracterisation des catégories abéliennes avec générateurs et limites inductives exactes. C. R. Acad. Sci. Paris258, 4188–4190 (1964).

    Google Scholar 

  5. Kato, T.: Rings of dominant dimension≧1. Proc Japan Acad.44, 579–584 (1968).

    Google Scholar 

  6. Kato, T.: Rings ofU-dominant dimension≧1. To appear in Tôhoku Math. J.

  7. Kato, T.: Dominant modules. To appear in J. Algebra.

  8. Lambek, J.: On Utumi's ring of quotients. Canadian J. Math.15, 363–370 (1963).

    Google Scholar 

  9. MacLane, S.: Homology. Berlin-Göttingen-Heidelberg: Springer 1963.

    Google Scholar 

  10. Morita, K.: Duality for modules and its applications to the theory of rings with minimum condition. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A6, No. 150, 83–142 (1958).

    Google Scholar 

  11. Morita, K.: Adjoint pairs of functors and Frobenius extensions. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A9, No. 205, 40–71 (1965).

    Google Scholar 

  12. — Duality inQF-3 rings. Math. Z.108, 237–252 (1969).

    Google Scholar 

  13. Morita, K. Tachikawa, H.:QF-3 rings. (Unpublished.)

  14. Mueller, B. J.: The classification of algebras by dominant dimension. Canadian J. Math.20, 398–409 (1968).

    Google Scholar 

  15. Silver, L.: Noncommutative localizations and applications. J. Algebra7, 44–76 (1967).

    Google Scholar 

  16. Tachikawa, H.: On dominant dimensions ofQF-3 algebras. Trans. Amer. Math. Soc.112, 249–266 (1964).

    Google Scholar 

  17. Tachikawa, H.: On splitting of module categories. To appear in Math. Z.

  18. Walker, C. L., Walker, E. A.: Quotient categories of modules. Proc. La Jolla Conference on categorical algebra, 404–420. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  19. Morita, K.: Localizations in categories of modules. II. To appear in J. reine angew. Math.

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  1. Department of Mathematics, Tokyo University of Education, Otsuka, Tokyo, Japan

    Kiiti Morita

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  1. Kiiti Morita
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Morita, K. Localizations in categories of modules. I. Math Z 114, 121–144 (1970). https://doi.org/10.1007/BF01110321

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