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Projective and hereditary modules over rings of generalized matrices

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This work is devoted to the investigation of projective modules over generalized matrix rings.

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References

  1. M. Auslander, I. Reiten, and S. O. Smalø, Representation Theory of Artin Algebras, Cambridge Univ. Press, Cambridge (1995).

    MATH  Google Scholar 

  2. K. Faith, Algebra: Rings, Modules, and Categories, Vol. 1, Springer, Berlin (1973).

    MATH  Google Scholar 

  3. K. R. Goodearl, Ring Theory, Marcel Dekker, New York (1976).

    MATH  Google Scholar 

  4. A. Haghany and K. Varadarajan, “Study of formal triangular matrix rings,” Commun. Algebra, 27, 5507–5525 (1999).

    Article  MATH  MathSciNet  Google Scholar 

  5. A. Haghany and K. Varadarajan, “Study of modules over formal triangular matrix rings,” J. Pure Appl. Algebra, 147, 41–58 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  6. F. Kasch, Modules and Rings, Academic Press, London (1982).

    MATH  Google Scholar 

  7. A. I. Kashu, Radicals and Torsions in Modules [in Russian], Shtiinca, Kishinev (1983).

    Google Scholar 

  8. V. K. Kharchenko, Noncommutative Galois Theory [in Russian], Nauchnaya Kniga, Novosibirsk (1996).

    MATH  Google Scholar 

  9. P. A. Krylov, “Hereditary endomorphism rings of mixed Abelian groups,” Sib. Mat. Zh., 43, No. 1, 108–119 (2002).

    MATH  Google Scholar 

  10. P. A. Krylov, A. V. Mikhalev, and A. A. Tuganbaev, Endomorphism Rings of Abelian Groups, Kluwer Academic, London (2003).

    MATH  Google Scholar 

  11. M. Müller, “Rings of quotient of generalized matrix rings,” Commun. Algebra, 15, 1991–2015 (1987).

    Article  MATH  Google Scholar 

  12. W. K. Nicholson and J. F. Watters, “Classes of simple modules and triangular rings,” Commun. Algebra, 20, 141–153 (1992).

    Article  MATH  MathSciNet  Google Scholar 

  13. L. Rowen, Ring Theory, Vol. 1, Academic Press, New York (1988).

    Google Scholar 

  14. E. Yu. Yardykov, “Simple modules over rings of generalized matrices,” Fundam. Prikl. Mat., 13, No. 3, 245–247 (2007).

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    P. A. Krylov & E. Yu. Yardykov

Authors
  1. P. A. Krylov
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  2. E. Yu. Yardykov
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Corresponding author

Correspondence to E. Yu. Yardykov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 5, pp. 125–138, 2008.

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Krylov, P.A., Yardykov, E.Y. Projective and hereditary modules over rings of generalized matrices. J Math Sci 163, 709–719 (2009). https://doi.org/10.1007/s10958-009-9707-5

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