Skip to main content

Sums of uniform modules

  • Conference paper
  • First Online:
Advances in Non-Commutative Ring Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 951))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. T. Bumby, Modules which are isomorphic to submodules of each other, Archiv. Math. XVI (1965), 1965), 184–185.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. Chase and C. Faith, Quotient rings and direct products of full linear rings, Math. Z. 88 (1965), 250–264.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Dauns, Simple modules and centralizers, T.A.M.S. 166 (1972), 457–477.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Dauns, One sided prime ideals, Pac. J. Math. 47 (1973), 401–412.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Dauns, Quotient rings and one sided primes, J. Reine Angew. Math. 278/279 (1975), 205–224.

    MathSciNet  MATH  Google Scholar 

  6. J. Dauns, Generalized monoform and quasi-injective modules, Pac. J. Math. 66 (1976), 49–65.

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Dauns, Prime Modules, J. Reine Angew. Math. 298 (1978), 156–181.

    MathSciNet  MATH  Google Scholar 

  8. J. Dauns, Prime modules and one sided ideals, Algebra Proceedings III, University of Oklahoma, 1979, Marcel Dekker, p. 41–83.

    Google Scholar 

  9. J. Dauns, Uniform modules and complements, Houston J. Math. 6 (1980), 31–40.

    MathSciNet  MATH  Google Scholar 

  10. C. Faith and Y. Utumi, Quasi-injective modules and their endomorphism rings, Arch. Math. 15 (1964), 166–177.

    Article  MathSciNet  MATH  Google Scholar 

  11. L. Fuchs, On primal ideals, P.A.M.S. 1 (1950), 1–6.

    Article  MathSciNet  MATH  Google Scholar 

  12. L. Fuchs, On subdirect unions, I, Acta Scient. Math. III (1952), 103–120.

    Article  MathSciNet  MATH  Google Scholar 

  13. L. Fuchs, On a new type of radical, Acta Scient. Math. XVI (1955), 43–53.

    MathSciNet  MATH  Google Scholar 

  14. L. Fuchs, Abelian p-Groups and Mixed Groups, Séminaire de Math. Sup., Les Presses de l'Université de Montreal.

    Google Scholar 

  15. A. W. Goldie, Semi-prime rings with maximum condition, Proc. London Math. Soc. 10 (1960), 201–220.

    Article  MathSciNet  MATH  Google Scholar 

  16. K. Goodearl, Ring Theory, Marcel Dekker, New York, 1976.

    MATH  Google Scholar 

  17. R. Gordon, Krull Dimension, A.M.S., Memoirs No.133, Providence, R.I., 1973.

    Google Scholar 

  18. J. Jans, Rings and Homology, Holt, Rinehart and Winston, New York, 1964.

    MATH  Google Scholar 

  19. K. Koh, On some characteristic properties of self injective rings, P.A.M.S. 19 (1968), 209–213.

    Article  MathSciNet  MATH  Google Scholar 

  20. K. Koh, Quasi-Simple Modules, Lectures on Rings and Modules, Lecture Notes in Mathematics No. 246, Springer (1972), New York.

    Google Scholar 

  21. J. Lambek, Lectures on Rings and Modules, Chelsea Publ. Co., New York 1976.

    MATH  Google Scholar 

  22. L. Levy, Unique subdirect sums of prime rings, T.A.M.S. 106 (1963), 64–76.

    Article  MathSciNet  MATH  Google Scholar 

  23. E. Matlis, Injective modules over Noetherian rings, Pac. J. Math. 8 (1958), 511–528.

    Article  MathSciNet  MATH  Google Scholar 

  24. H. Storrer, On Goldman's Primary Decomposition, Lecture Notes in Mathematics No. 246, Springer (1972), New York.

    MATH  Google Scholar 

  25. M. Teply, Torsion free injective modules, Pac. J. Math. 28 (1969), 441–453.

    Article  MathSciNet  MATH  Google Scholar 

  26. M. Teply, Subidealizer rings and the splitting properties, to appear.

    Google Scholar 

  27. R. B. Warfield, Decomposition of injective modules, Pac. J. Math. 31 (1960), 236–276.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verleg

About this paper

Cite this paper

Dauns, J. (1982). Sums of uniform modules. In: Advances in Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067325

Download citation

  • DOI: https://doi.org/10.1007/BFb0067325

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11597-7

  • Online ISBN: 978-3-540-39371-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics