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Endomorphism rings of projective modules

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References

  1. Auslander, M., and O. Goldman: Maximal orders. Trans. Amer. Math. Soc.97, 1–24 (1960).

    Google Scholar 

  2. —: The Brauer groups of a commutative ring. Trans. Amer. Math. Soc.97, 367–409 (1960).

    Google Scholar 

  3. Bass, H.: Finitistic dimension and a homological generalization of semi-primary rings. Trans. Amer. Math. Soc.95, 466–488 (1960).

    Google Scholar 

  4. Bass, H.: The Morita theorems. Lecture Notes. University of Oregon, 1962.

  5. Bourbaki, N.: Algèbre Commutative, Chap. I–II, Act. Sci. Ind. 1290. Paris: Hermann 1961.

    Google Scholar 

  6. Cartan, H., and S. Eilenberg: Homological algebra. Princeton 1956.

  7. Curtis, C. W.: Modules whose annihilators are direct summands. Pacific J. Math.8, 685–691 (1958).

    Google Scholar 

  8. —, and I. Reiner: Representation theory of finite groups and associative algebras. New York: Interscience 1962.

    Google Scholar 

  9. Faith, C., and Y. Utumi: On maximal quotient rings. Proc. Amer. Math. Soc.16, 1084–1089 (1965).

    Google Scholar 

  10. Mares, E. A.: Semi-perfect modules. Math. Z.82, 347–360 (1963).

    Google Scholar 

  11. Morita, K.: Duality for modules and its applications to the theory of rings with minimum conditions. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A6, 83–142 (1958).

    Google Scholar 

  12. —: Adjoint pairs of functors and Frobenius extensions. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A,9, 40–71 (1965).

    Google Scholar 

  13. Rosenberg, A., and D. Zelinsky: Annihilators. Portugaliae Math.20, 53–65 (1961).

    Google Scholar 

  14. Willard, E. R.: Properties of projective generators. Math. Ann.158, 352–364 (1965).

    Google Scholar 

  15. Zariski, O., and P. Samuel: Commutative algebra, Vol. I Princeton: Van Nostrand 1958.

    Google Scholar 

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This work was supported by NSF Grant No. 1265 GP2985.

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Anderson, F.W. Endomorphism rings of projective modules. Math Z 111, 322–332 (1969). https://doi.org/10.1007/BF01110241

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