Skip to main content
SpringerLink
Log in

Forcing linearity numbers of semicyclic modules over commutative Noetherian rings

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

Abstract

In this paper we determine the forcing linearity numbers for semicyclic modules over commutative Noetherian rings.

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. M. F. Atiyah andI. G. Macdonald,Introduction to commutative algebra. Addison-Wesley Publishing Co., 1969.

  2. P. Fuchs andC. J. Maxson, When do maximal submodules force linearity?J. Pure Appl. Algebra 141 no. 3 (1999), 211–224.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. Gottlieb, Modules covered by finite unions of submodules.Comm. in Alg. 26 (1998), 2351–2359.

    Article  MATH  MathSciNet  Google Scholar 

  4. I. Kaplansky,Commutative Rings. Polygonal Publishing House, 1970.

  5. A. Kreuzer andC. J. Maxson, Forcing linearity numbers for modules over P.I.D.’s.Geometriae Dedicata 83 (2000), 351–364.

    Article  MATH  MathSciNet  Google Scholar 

  6. —, Forcing linearity numbers for injective modules over P.I.D.’S.Archiv der Math. 77 (2001), 476–483.

    Article  MATH  MathSciNet  Google Scholar 

  7. C. J. Maxson, Forcing linearity numbers for projective modules.J. Algebra 251 (2002), 1–11

    Article  MATH  MathSciNet  Google Scholar 

  8. C. J. Maxson andA. B. Van DER Merwe,Forcing linearity numbers for finitely generated modules. Preprint, 2001.

  9. C. J. Maxson andJ. H. Meyer, Forcing linearity numbers.J. Algebra 223 no. 1 (2000), 190–207.

    Article  MATH  MathSciNet  Google Scholar 

  10. R. Y. Sharp,Steps in commutative algebra. London Mathematical Society Student Texts no. 19, Cambridge University Press, 1990.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Houston Baptist University, 7502 Fondren Road, 77074, Houston, Texas, USA

    Amie Moch Ryan

Authors
  1. Amie Moch Ryan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Amie Moch Ryan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ryan, A.M. Forcing linearity numbers of semicyclic modules over commutative Noetherian rings. Abh.Math.Semin.Univ.Hambg. 73, 209–223 (2003). https://doi.org/10.1007/BF02941277

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02941277

Key words and phrases

Search

Navigation