Skip to main content

Hereditary and semihereditary endomorphism rings

  • Conference paper
  • First Online:
Ring Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1197))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. T. Albu and C. NĂstĂsescu, Relative finiteness in module theory. Marcel Dekker, New York (1984).

    MATH  Google Scholar 

  2. R.R. Colby and E.A. Rutter, Jr., Generalizations of QF-3 algebras, Trans. Amer. Math. Soc. 153 (1971), 371–386.

    MathSciNet  MATH  Google Scholar 

  3. S. Endo, On semi-hereditary rings, J. Math. Soc. Japan 13 (1961), 109–119.

    Article  MathSciNet  MATH  Google Scholar 

  4. J.L. García, J.L. Gómez Pardo and J. Martínez, Semiperfect modules relative to a torsion theory, to appear in J. Pure Appl. Algebra.

    Google Scholar 

  5. J.L. García and J.L. Gómez Pardo, Projective modules and their endomorphism rings, to appear.

    Google Scholar 

  6. J.L. Golan, Localization of noncommutative rings, Marcel Dekker, New York (1975).

    MATH  Google Scholar 

  7. D.A. Hill, Endomorphism rings of hereditary modules, Arch. Math. 28 (1977), 45–50.

    Article  MathSciNet  MATH  Google Scholar 

  8. H. Lenzing, Halberbliche Endomorphismenringe, Math. Z. 118 (1970), 219–240.

    Article  MathSciNet  MATH  Google Scholar 

  9. B.J. Müller, The quotient category of a Morita context, J. Algebra 28 (1974), 389–407.

    Article  MathSciNet  MATH  Google Scholar 

  10. K. Nishida, Divisible modules, codivisible modules and quasi-divisible modules, Comm. Algebra 5 (1977), 591–610.

    Article  MathSciNet  MATH  Google Scholar 

  11. K. Ohtake, Equivalence between colocalization and localization in abelian categories with applications to the theory of modules, J. Algebra 79 (1982), 169–205.

    Article  MathSciNet  MATH  Google Scholar 

  12. A. Page, Sur les anneaux héréditaires ou semi-héréditaires, Comm. Algebra 6 (1978), 1169–1186.

    Article  MathSciNet  MATH  Google Scholar 

  13. K.M. Rangaswamy, Codivisible modules, Comm. Algebra 2 (1974), 475–489.

    Article  MathSciNet  MATH  Google Scholar 

  14. M.S. Srikhande, On hereditary and cohereditary modules, Can. J. Math. 25 (1973), 892–896.

    Article  MathSciNet  Google Scholar 

  15. B. Stenström, Rings of quotients, Springer-Verlag, Berlin/Heidelberg/New York (1975).

    Book  MATH  Google Scholar 

  16. R. Wisbauer, Erbliche Moduln und nichtassoziative Ringe, Comm. Algebra 7 (1979), 47–77.

    Article  MathSciNet  MATH  Google Scholar 

  17. B. Zimmermann, Endomorphism rings of self-generators. Algebra-Berichte Nr. 27, Math. Inst. der Univ. München (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Freddy M. J. van Oystaeyen

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

García Hernández, J.L., Gómez Pardo, J.L. (1986). Hereditary and semihereditary endomorphism rings. In: van Oystaeyen, F.M.J. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076315

Download citation

  • DOI: https://doi.org/10.1007/BFb0076315

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16496-8

  • Online ISBN: 978-3-540-39833-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics