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Small ideals in radical theory

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References

  1. T. Anderson and R. Wiegandt, Weakly homomorphically closed semisimple classes,Acta Math. Acad. Sci. Hungar.,34 (1979), 329–336.

    Article  Google Scholar 

  2. E. P. Armendariz, Closure properties in radical theory,Pacific J. Math.,26 (1968), 1–7.

    Google Scholar 

  3. R. Baer, Der reduzierte Rang einer Gruppe,J. Reine Angew. Math. 214/215 (1964), 146–173.

    Google Scholar 

  4. B. Brown and N. H. McCoy, Radicals and subdirect sums,Amer. J. Math.,69 (1947), 46–58.

    Google Scholar 

  5. S. E. Dickson,Torsion theories for abelian categories. Thesis, New Mexico State University. 1963.

  6. S. E. Dickson, A torsion theory for abelian categories,Trans. Amer. Math. Soc.,121 (1966), 223–235.

    Google Scholar 

  7. S. E. Dickson, Direct decomposition of radicals,Proc. Conf. on Categorical Algebra (La Jolla, 1965), 366–274 (Springer, 1966).

  8. L. Fuchs,Abelian Groups, Akadémiai Kiadó (Budapest, 1958).

    Google Scholar 

  9. P. Gabriel, Des catégories abéliennes,Bull. Soc. Math. France,90 (1962), 323–448.

    Google Scholar 

  10. A. Grothendieck Sur quelques points d'algèbre homologique,Tôhoku Math. J.,9 (1957), 119–221.

    Google Scholar 

  11. W. W. Leonard, Small modules,Proc. Amer. Math. Soc. 17 (1966), 527–531.

    Google Scholar 

  12. G. Michler, Kleine Ideale, Radikale und die Eins in Ringen,Publ. Math. Debrecen,12 (1965), 231–252.

    Google Scholar 

  13. B. Mitchell,Theory of Categories (Academic Press, 1965).

  14. A. D. Sands, Weakly homomorphically closed semisimple classes of subidempotent radicals,Acta Math. Acad. Sci. Hungar.,39(1982), 179–183.

    Article  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, University of Tasmania, G.P.O. Box 252C, 7001, Hobart, Tasmania, Australia

    B. J. Gardner

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  1. B. J. Gardner
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These results were obtained while the author was visiting the University of California, Berkeley as part of a University of Tasmania Outside Studies Programme and with the partial support of a Fulbright Senior Scholar Award.

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Gardner, B.J. Small ideals in radical theory. Acta Math Hung 43, 287–294 (1984). https://doi.org/10.1007/BF01958025

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