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Quasi-Endomorphism Rings of Strongly Indecomposable Torsion-Free Abelian Groups of Rank 4 With Pseudosocles of Rank 1

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We obtain the matrix representation of the minimal rational algebra whose subalgebras, up to isomorphism, are quasi-endomorphism rings of strongly indecomposable torsion-free Abelian groups of rank 4 with pseudosocles of rank 1.

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References

  1. D. M. Arnold, Finite Rank Torsion Free Abelian Groups and Rings, Lect. Notes Math., Vol. 931, Springer, Berlin (1982).

    MATH  Google Scholar 

  2. L. Fuchs, Infinite Abelian Groups, Vols. 1, 2, Academic Press (1970, 1973).

  3. F. Kasch, Moduln und Ringe, Teubner, Stuttgart (1977).

    Book  MATH  Google Scholar 

  4. P. A. Krylov, “Radicals of rings of endomorphisms of torsion-free Abelian groups,” Mat. Sb., 95, No. 10, 214–228 (1974).

    MathSciNet  Google Scholar 

  5. R. S. Pierce, Associative Algebras, Springer, New York (1982).

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  6. J. D. Reid, “On the rings of quasi-endomorphism of torsion-free Abelian groups,” in: Topics in Abelian Groups (1963), pp. 51–68.

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Correspondence to A. V. Cherednikova.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 8, pp. 177–182, 2011/12.

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Cherednikova, A.V. Quasi-Endomorphism Rings of Strongly Indecomposable Torsion-Free Abelian Groups of Rank 4 With Pseudosocles of Rank 1. J Math Sci 197, 703–707 (2014). https://doi.org/10.1007/s10958-014-1754-x

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  • DOI: https://doi.org/10.1007/s10958-014-1754-x

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