Skip to main content
SpringerLink
Log in

Modules under ground ring extension

  • Conference paper
  • First Online:
Orders and their Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1142))

  • 458 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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. H. Bass, Algebraic K-theory, Math. Lecture notes, Benjamin, New York, 1968.

    Google Scholar 

  2. A. Bialynicki-Birula, "On the equivalence of integral representations of groups", Proc. Amer. Math. Soc. 26 (1970), 371–377.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Dress, "On the decomposition of modules", Bull. Amer. Math. Soc. 75(1969), 984–986.

    Article  MathSciNet  MATH  Google Scholar 

  4. D. Estes and R. Guralnick, "Module equivalence local to global when primitive polynomials represent units", J. Algebra 77(1982), 138–157.

    Article  MathSciNet  MATH  Google Scholar 

  5. D. Estes and R. Guralnick, "Representations under ring extensions: Latimer-MacDuffee and Taussky correspondence", Advances in Math., in press.

    Google Scholar 

  6. A. Grothendieck, Element de Geometrie Algebrique IV Partie 2, Publ. Math. IHES 24(1967).

    Google Scholar 

  7. R. Guralnick, "The genus of a module", J. Number Theory 18(1984), 169–177.

    Article  MathSciNet  MATH  Google Scholar 

  8. R. Guralnick, "The genus of a module II", preprint.

    Google Scholar 

  9. R. Guralnick, "Power cancellation of modules", Pacific J. Math., to appear.

    Google Scholar 

  10. H. Jacobinski, "Uber Geschechter von Ordnungen", J. Reine Angew. Math. 230(1968), 29–39.

    MathSciNet  MATH  Google Scholar 

  11. I. Reiner and H. Zassenhaus, "Equivalence of representations under extensions of local ground rings", Illinois J. Math. 5(1961), 409–411.

    MathSciNet  MATH  Google Scholar 

  12. K. Roggenkamp, "An extension of the Noether-Deuring theorem" Proc. Amer. Math. Soc. 31(1972), 423–426.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors
  1. Robert M. Guralnick
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Irving Reiner Klaus W. Roggenkamp

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Guralnick, R.M. (1985). Modules under ground ring extension. In: Reiner, I., Roggenkamp, K.W. (eds) Orders and their Applications. Lecture Notes in Mathematics, vol 1142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074798

Download citation

  • DOI: https://doi.org/10.1007/BFb0074798

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15674-1

  • Online ISBN: 978-3-540-39601-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation