Skip to main content

Categories of Mixed and Torsion-Free Finite Rank Abelian Groups

  • Chapter
Book cover Abelian Groups and Modules

Part of the book series: Mathematics and Its Applications ((MAIA,volume 343))

Abstract

In this paper “group” always means “abelian group”. For a group G let T = T(G) be the torsion part and, for a prime p, let T p = T p (G), be the p-torsion part of G.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. U. Albrecht, H. P. Goeters and W. Wickless, The flat dimension of mixed abelian groups as E-modules, to appear in Rocky Mountain J. Math.

    Google Scholar 

  2. A. Fomin, Invariants and duality in some classes of torsion free abelian groups of finite rank, Algebra and Logic 26 (1987), 42–55.

    Article  MATH  Google Scholar 

  3. A. Fomin, The category of quasi-homomorphisms of abelian torsion free groups of finite rank, Contemp. Math. 131, Part 1, (1992), 91–111.

    Google Scholar 

  4. A. Fomin, Finitely presented modules over the ring of universal numbers, to appear in Con-temp. Math. 171.

    Google Scholar 

  5. L. Fuchs and K. Rangaswamy, On generalized regular rings, Math. Z. 107 (1968), 71–81.

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Glaz and W. Wickless, Regular and principal projective endomorphism rings of mixed abelian groups, Comm. Algebra 22 (1994), 1161–1176.

    Article  MathSciNet  MATH  Google Scholar 

  7. R. Pierce and C. Vinsonhaler, Quasi-realizing modules, Lecture Notes in Pure and Applied Math. 146 (1993), 219–229.

    MathSciNet  Google Scholar 

  8. K. Rangaswamy, Representing Baer rings as endomorphism rings, Math. Ann. 190 (1970), 167–176.

    Article  MathSciNet  MATH  Google Scholar 

  9. K. Rangaswamy, Regular and Baer rings, Proc. Amer. Math. Soc. 42 (1974), 354–358.

    Article  MathSciNet  MATH  Google Scholar 

  10. K. Rangaswamy, Abelian groups with endomorphic images of special types, J. Algebra 6 (1967), 271–280.

    Article  MathSciNet  MATH  Google Scholar 

  11. C. Vinsonhaler and W. Wickless, Realizations of finite dimensional algebras over the rationale, to appear in Rocky Mountain J. Math. 24 (1994).

    Google Scholar 

  12. R. Warfield, Homomorphisms and duality for torsion-free groups, Math. Z. 107 (1968), 189--200.

    Google Scholar 

  13. W. Wickless, A functor from mixed groups to torsion-free groups, Contemp. Math. 171 (1994), 407–417.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Additional information

To Laszlo Fuchs on his seventieth birthday

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Fomin, A.A., Wickless, W.J. (1995). Categories of Mixed and Torsion-Free Finite Rank Abelian Groups. In: Facchini, A., Menini, C. (eds) Abelian Groups and Modules. Mathematics and Its Applications, vol 343. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0443-2_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-0443-2_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4198-0

  • Online ISBN: 978-94-011-0443-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics