Skip to main content
Log in

Rings in which annihilators form a sublattice of the lattice of ideals

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. M. Jaegerman and J. Krempa, “Rings in which ideals are annihilators,” Fund. Math.,76, No. 2, 95–107 (1972).

    Google Scholar 

  2. L. Herman, “Semiorthogonality in Rickart rings,” Pac. J. Math.,39, No. 1, 179–186 (1971).

    Google Scholar 

  3. B. Brown and N. H. McCoy, “The maximal regular ideal of rings,” Proc. Am. Math. Soc.,1, No. 2, 165–171 (1950).

    Google Scholar 

  4. M. A. Satyanarayana, “A note on PP-rings,” Math. Scand.,25, No. 1, 105–108 (1968).

    Google Scholar 

  5. L. A. Skornyakov, “Homological classification of rings,” Mat. Vestn.,4 (19), No. 4, 415–434 (1967).

    Google Scholar 

  6. C. Faith, Algebra: Rings, Modules, and Categories, Springer-Verlag (1973).

  7. N. Jacobson, Structure of Rings, Amer. Math. Soc., Providence, R. I. (1956).

    Google Scholar 

  8. Y. Utumi, “On continuous regular rings and semisimple self-injective rings,” Can. J. Math.,12, 597–605 (1960).

    Google Scholar 

  9. S. A. Steinberg, “Rings of quotients of rings without nilpotent elements,” Pac. J. Math.,49, No. 2, 493–506 (1973).

    Google Scholar 

  10. L. Jeremy, “Modules et anneaux quasicontinuous,” Can. Math. Bull.,17, No. 2, 217–228 (1974).

    Google Scholar 

  11. L. W. Small, “Semihereditary rings,” Bull. Am. Math. Soc.,73, No. 5, 656–658 (1967).

    Google Scholar 

  12. M. Ya. Finkel'shtein, “PP-rings with the annihilator condition,” Vestn. Mosk. Gos. Univ., Ser. Mat.-Mekh., No. 4, 12–14 (1972).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 160–167, November–December, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Finkel'shtein, M.Y. Rings in which annihilators form a sublattice of the lattice of ideals. Sib Math J 24, 955–960 (1983). https://doi.org/10.1007/BF00970321

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970321

Navigation