Periodica Mathematica Hungarica

, Volume 29, Issue 2, pp 163–168 | Cite as

Multiplication modules and projective modules

  • P. F. Smith

Mathematics subject classification numbers

1991 Primary 13C10 Secondary 13C13 

Key words and phrases

Projective module multiplication module endomorphism ring 


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  1. [1]
    D. D. Anderson, Some remarks on multiplication ideals,Math. Japonica 25 (1980), 463–469.Google Scholar
  2. [2]
    F. W. Anderson andK. R. Fuller,Rings and Categories of Modules, (Springer-Verlag New York 1973).Google Scholar
  3. [3]
    Z. A. El-Bast andP. F. Smith, Multiplication moduls,Comm. in Algebra 16 (1988), 755–779.Google Scholar
  4. [4]
    G. M. Low andP. F. Smith, Multiplication modules and ideals,Comm. in Algebra 18 (1990), 4353–4375.Google Scholar
  5. [5]
    A. G. Naoum, On the ring of endomorphisms of a finitely generated multiplication module,Period. Math. Hungar. 21 (1990), 249–255.Google Scholar
  6. [6]
    A. G. Naoum andM. A. K. Hasan, On finitely generated projective and flat ideals in commutative rings,Period. Math. Hungar. 16 (1985), 251–260.Google Scholar
  7. [7]
    B. L. Osofsky, Noninjective cyclic modules,Proc. Amer. Math. Soc. 19 (1968), 1383–1384.Google Scholar
  8. [8]
    P. F. Smith, Some remarks on multiplication modules,Arch. Math. 50 (1988), 223–235.Google Scholar
  9. [9]
    W. W. Smith, Projective ideals of finite type,Canad. J. Math. 21 (1969), 1057–1061.Google Scholar

Copyright information

© Akadémiai Kiadó 1994

Authors and Affiliations

  • P. F. Smith
    • 1
  1. 1.Department of MathematicsUniversity of GlasgowGlasgowScotland U. K.

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