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A topological criterion for primary decomposition

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References

  1. T. Albu, Un critère de décomposibilité des modules de torsion,Bull. Math. de Soc. Sci. Math. de la R. S. de Roum.,15 (1971), 1–8.

    Google Scholar 

  2. J. S. Alin, Primary decomposition of modules,Math. Z.,107 (1968), 319–325.

    Google Scholar 

  3. M. Atiyah andI. MacDonald,Introduction to Commutative Algebra, Addison-Wesley (Reading, Mass., 1969).

    Google Scholar 

  4. S. Dickson, Decomposition of modules I; classical rings,Math. Z.,90 (1965), 9–13.

    Google Scholar 

  5. S. Dickson, Decomposition of modules II; rings without chain conditions,Math. Z.,104 (1968), 349–357.

    Google Scholar 

  6. L. Fuchs, Torsion preradicals and ascending Loewy series of modules,J. reine angew. Math.,239 (1970), 169–179.

    Google Scholar 

  7. L. Gillman andM. Jerison,Rings of Continuous Functions, D. Van Nostrand Company (Princeton, N. J., 1960).

    Google Scholar 

  8. S. Lajos andF. Szász, Some characterizations of two-sided regular rings,Acta Sci. Math. Szeged,31 (1970), 223–228.

    Google Scholar 

  9. C. Năstăsescu, Décomposition primaire dans les anneaux semi-artiniens,J. of Algebra,14 (1970), 170–181.

    Google Scholar 

  10. C. Năstăsescu, La serie di Loewy associata ad un anello,Rev. Roum. Math. Pures et Applic.,19 (1974), 428–433.

    Google Scholar 

  11. C. Năstăsescu andT. Albu, Décomposition primaire des modules,J. of Algebra,23 (1970), 263–270.

    Google Scholar 

  12. C. Năstăsescu andN. Popescu, Anneaux semi-artiniens,Bull. Soc. Math. France,96 (1968), 357–368.

    Google Scholar 

  13. R. Pierce, Modules over commutative regular rings,Memoirs of the A. M. S., No. 70 (Providence, R. I., 1967).

  14. T. Shores, Decompositions of finitely generated modules,Proc. Amer. Math. Soc.,30 (1972), 445–450.

    Google Scholar 

  15. T. Shores, The structure of Loewy modules,J. reine angew. Math.,254 (1972), 204–220.

    Google Scholar 

  16. T. Shores, Decomposition of torsion classes,Math. Japonicae,18 (1973), 181–185.

    Google Scholar 

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  1. Department of Mathematics, University of Nebraska, 68588, Lincoln, Nebraska, USA

    T. S. Shores

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  1. T. S. Shores
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Shores, T.S. A topological criterion for primary decomposition. Acta Mathematica Academiae Scientiarum Hungaricae 28, 383–387 (1976). https://doi.org/10.1007/BF01896804

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  • DOI: https://doi.org/10.1007/BF01896804

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