Skip to main content
SpringerLink
Log in

Distributive monoid algebras

  • Brief communication
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Literature cited

  1. I. B. Kozhukhov, “Chain semigroup rings,” Usp. Mat. Nauk,29, No. 1, 169–170 (1974).

    Google Scholar 

  2. B. R. Hardy and T. S. Shores, “Arithmetical semigroup rings,” Can. J. Math.,32, No. 6, 1361–1371 (1980).

    Google Scholar 

  3. L. G. Chouinard, B. R. Hardy, and T. S. Shores, “Arithmetical and semihereditary semigroup rings,” Commun. Algebra,8, No. 17, 1593–1652 (1980).

    Google Scholar 

  4. A. A. Tuganbaev, “Rings with a distributive lattice of right ideals,” Usp. Mat. Nauk,41, No. 3, 203–204 (1986).

    Google Scholar 

  5. A. A. Tuganbaev, “Distributive and semigroup rings,” in: Abelian Groups and Modules [in Russian], No. 6, Tomsk State University, Tomsk (1986), pp. 133–144.

    Google Scholar 

  6. A. A. Tuganbaev, “On monoid rings,” in: Abelian Groups and Modules [in Russian], No. 7, Tomsk State University, Tomsk (1988), pp. 124–130.

    Google Scholar 

  7. M. Hall, Jr., The Theory of Groups, Macmillan, New York (1959).

    Google Scholar 

  8. V. V. Ignatov, “On the semiheredity of semilattice sums of rings,” in: Abelian Groups and Modules [in Russian], No. 2, Tomsk State University, Tomsk (1982, pp. 110–116.

    Google Scholar 

  9. J. Kuzmanovich and M. L. Teply, “Semihereditary monoid rings,” Houston J. Math.,10, No. 4, 525–534 (1984).

    Google Scholar 

  10. W. Stephenson, “Modules whose lattice of submodules is distributive,” Proc. London Math. Soc.,28, No. 2, 291–310 (1974).

    Google Scholar 

  11. A. A. Tuganbaev, “Distributive rings and modules,” Trudy Mosk. Mat. Obshch.,51, 95–113 (1988).

    Google Scholar 

  12. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, American Mathematical Society, Providence, R. I. (1961).

    Google Scholar 

  13. J. Lambek, Lectures on Rings and Modules, Blaisdell, Waltham, Mass. (1966).

    Google Scholar 

  14. S. V. Mikhovski, “On strongly regular group rings,” Izv. Mat. Inst. B"lgar. Akad. Nauk,14, 67–72 (1973).

    Google Scholar 

  15. A. A. Tuganbaev, “Rings with a distributive lattice of ideals,” in: Abelian Group and Modules [in Russian], No. 5, Tomsk State University, Tomsk (1985), pp. 88–104.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Energy Institute, USSR

    A. A. Tuganbaev

Authors
  1. A. A. Tuganbaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 51, No. 2, pp. 101–108, February, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tuganbaev, A.A. Distributive monoid algebras. Math Notes 51, 177–182 (1992). https://doi.org/10.1007/BF02102125

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02102125

Keywords

Search

Navigation