Advertisement

Acta Mathematica Hungarica

, Volume 44, Issue 1–2, pp 3–12 | Cite as

Copure submodules

  • V. A. Hiremath
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    L. Bican, Notes on purities,Czech. Math. J.,22 (1972), 525–534.Google Scholar
  2. [2]
    L. Bican, Projective purities,Comment. Math. Univ. Carolinae,13 (1972), 99–107.Google Scholar
  3. [3]
    L. Bican, A remark on projectively closed purities,Czech. Math. J.,24 (1974), 1–4.Google Scholar
  4. [4]
    S. U. Chase, Direct product of modules,Trans. Amer. Math. Soc.,97 (1960), 457–473.Google Scholar
  5. [5]
    D. P. Choudhary and K. Tewari, Tensor purities, cyclic quasiprojectives and cocyclic copurity,Comm. in Alg.,7 (1979), 1559–1572.Google Scholar
  6. [6]
    P. M. Cohn, On the free product of associative rings. I,Math. Zeit.,71 (1959), 389–398.CrossRefGoogle Scholar
  7. [7]
    J. H. Cozzens, Homological properties of the differential polynomials,Bull. Amer. Math. Soc.,76 (1970), 75–79.Google Scholar
  8. [8]
    C. Faith,Algebra — Rings, modules and categories, I, Grundlehren Math. Wiss. Vol. 190, Springer Verlag (Berlin-Heidelberg-New York, 1973).Google Scholar
  9. [9]
    R. Gilmer,Multiplicative ideal theory, Marcel-Dekker Inc. (New York, 1972).Google Scholar
  10. [10]
    V. A. Hiremath, Cofinitely generated and cofinitely related modules,Acta Math. Acad. Sci. Hungar.,39 (1982), 1–9.CrossRefGoogle Scholar
  11. [11]
    J. P. Jans, On co-noetherian rings,J. London Math. Soc.,1 (1969), 588–590.Google Scholar
  12. [12]
    I. Kaplansky, Modules over Dedekind rings and valuation rings,Trans. Amer. Math. Soc.,72 (1952), 327–340.Google Scholar
  13. [13]
    S. MacLane,Homology, Springer Verlag (Berlin, 1963).Google Scholar
  14. [14]
    H. Matsumara,Commutative algebra, Benjamin (New York, 1970).Google Scholar
  15. [15]
    A. R. Misina and L. A. Skomyskov,Abelevy gruppi i moduli (Moscow, 1969).Google Scholar
  16. [16]
    B. L. Osofsky, Cyclic injective modules of full linear rings,Proc. Amer. Math. Soc.,17 (1966), 247–253.Google Scholar
  17. [17]
    A. Rosenberg and D. Zelinsky, On the finiteness of the injective hull,Math. Zeit.,70 (1959), 372–380.CrossRefGoogle Scholar
  18. [18]
    E. Steinitz, Rechteckige Systeme und Moduln in algebraischen Zahlkörpern,Math. Ann.,71 (1912), 328–354.CrossRefGoogle Scholar
  19. [19]
    B. Stenström, Pure submodules,Arkiv För Mat.,7 (1967), 157–171.Google Scholar
  20. [20]
    P. Vamos, On the dual of the notion of finitely generated,J. London Math. Soc.,43 (1968), 643–646.Google Scholar
  21. [21]
    C. P. Walker, Relative homological algebra and abelian groups,Ill. J. Math.,10 (1966), 186–209.Google Scholar
  22. [22]
    R. B. Warfield, Jr., Purity and algebraic compactness for modules,Pacific. J. Math.,28 (1969), 699–719.Google Scholar

Copyright information

© Akadémiai Kiadó 1984

Authors and Affiliations

  • V. A. Hiremath
    • 1
  1. 1.School of Mathematical SciencesMadurai Kamaraj UniversityMaduraiIndia

Personalised recommendations