Skip to main content

Commutative monoid rings with krull dimension

Part of the Lecture Notes in Mathematics book series (LNM,volume 1320)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Clifford A.H., Preston G.B. The algebraic theory of semigroups, Math. Surveys of the Amer. Math., Soc. 7, Providence, 1961.

    Google Scholar 

  2. Gilmer R., Multiplicative ideal theory, Marcel Dekker, New York, 1972.

    MATH  Google Scholar 

  3. Gilmer R., Commutative semigroup rings, Chicago Lect. in Math., Chicago, 1984.

    Google Scholar 

  4. Gordon R., Robson J.C., Krull dimension, Memoirs of the Amer. Math. Soc. 133, Providence, 1973.

    Google Scholar 

  5. Lemonnier B., Dimension de Krull et codeviation. Application au theoreme d'Eakin, Comm. Algebra 6(1978), 1647–1665.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Matsuda R., Notes on noetherian semigroup rings, Bull. Fac. Sci. Ibaraki Univ. 15(1983), 9–16.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Moh T.T., On a normalization lemma for integers and an application of four colors theorem, Houston J.Math. 5(1979), 119–123.

    MathSciNet  MATH  Google Scholar 

  8. Okniński J., When is the semigroup ring perfect, Proc. Amer. Math. Soc. 89(1983), 49–51.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Okniński J., Semilocal semigroup rings, Glasgow Math. J. 25(1984), 37–44.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Park J.K., Skew group rings with Krull dimension, Math. J. Okayama Univ. 25(1983), 75–80.

    MathSciNet  MATH  Google Scholar 

  11. Passman D.S., Group rings of polycyclic groups, Group theory: essays for Philip Hall, London Math. Soc., 1984.

    Google Scholar 

  12. Saito T., Note on minimal conditions for principal ideals of a semigroup, Math. Japon. 13(1968), 95–104.

    MathSciNet  MATH  Google Scholar 

  13. Smith P.F., On the dimension of group rings, Proc. London Math. Soc. 25(1972), 288–302.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Woods S.M., Existence of Krull dimension in group rings, J. London Math. Soc. 9(1975), 406–410.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Zelmanov E.I. Semigroup algebras with identities, Sib. Math. J. 18(1977), 787–798.

    MathSciNet  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Okniński, J. (1988). Commutative monoid rings with krull dimension. In: Jürgensen, H., Lallement, G., Weinert, H.J. (eds) Semigroups Theory and Applications. Lecture Notes in Mathematics, vol 1320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083438

Download citation

  • DOI: https://doi.org/10.1007/BFb0083438

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19347-0

  • Online ISBN: 978-3-540-39225-5

  • eBook Packages: Springer Book Archive