Skip to main content
SpringerLink
Log in

Abelian group pairs having a trivial coGalois group

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

Torsion-free covers are considered for objects in the category q 2. Objects in the category q 2 are just maps in R-Mod. For R = ℤ, we find necessary and sufficient conditions for the coGalois group G(A → B), associated to a torsion-free cover, to be trivial for an object A → B in q 2. Our results generalize those of E. Enochs and J. Rado for abelian groups.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E. Enochs and O. Jenda: Relative Homological Algebra. Volume 30 of DeGruyter Expositions in Mathematics, Walter de Gruyter Co., Berlin, Germany (2000).

    MATH  Google Scholar 

  2. E. Enochs and J. Rada: Abelian groups which have trivial absolute coGalois group. Czech. Math. Jour. 55 (2005), 433–437.

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Wesley: Torsionfree covers of graded and filtered modules. Ph.D. thesis, University of Kentucky, 2005.

  4. M. Dunkum: Torsion free covers for pairs of modules. Submitted.

  5. T. Wakamatsu: Stable equivalence for self-injective algebras and a generalization of tilting modules. J. Algebra 134 (1990), 298–325.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Auburn University, Auburn, AL, 36849, USA

    Paul Hill

Authors
  1. Paul Hill
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Paul Hill.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hill, P. Abelian group pairs having a trivial coGalois group. Czech Math J 58, 1069–1081 (2008). https://doi.org/10.1007/s10587-008-0069-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10587-008-0069-9

Keywords

Search

Navigation