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Annali di Matematica Pura ed Applicata

, Volume 98, Issue 1, pp 311–317 | Cite as

Products of arbitrary inteals in thes-d-ring over the integers

  • Esayas George Kundert
Article
  • 15 Downloads

Summary

In this paper the multiplicative theory—started in [5]—is brought to a satisfactory conclusion. A product for arbitrary inteals is defined which agrees with the idealproduct on the semigroup of inteals with norm not zero. A complete decomposition theory is then developed. The introduction gives a short account of the present state of the theory of s-d-rings.

Keywords

Present State Complete Decomposition Short Account Decomposition Theory Satisfactory Conclusion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [1]
    E. G. Kundert,Semi-derivations and semi-integration in certain extensions of m-adic rings, Rend. di Matematica, (3–4),19 (1960).Google Scholar
  2. [2]
    E. G. Kundert,Structure Theory in s-d-Rings, Nota I, Acc. Naz. Lincei, (8),41 (1966).Google Scholar
  3. [3]
    E. G. Kundert,Structure Theory in s-d-Rings, Nota II, Acc. Naz. Lincei, (8),43 (1967).Google Scholar
  4. [4]
    E. G. Kundert,Structure Theory in s-d-Rings, Nota III, Acc. Naz. Lincei, (8),43 (1967).Google Scholar
  5. [5]
    E. G. Kundert,The Inteal Structure in the s-d-Ring over the Integers, Rend. di Matematica, (3), Serie VI,4 (1971).Google Scholar
  6. [6]
    E. G. Kundert,On the Algebra Structure of the s-d-Ring over Z p, Nota I, Acc. Naz. Lincei, (6),51 (1971).Google Scholar
  7. [7]
    E. G. Kundert,On the Algebra Structure of the s-d-Ring over Z p, Nota II, Acc. Naz. Lincei, (1),52 (1972).Google Scholar
  8. [8]
    Th. Giebutowski,s-d-Rings over the Integers and their P-Completions, Ph. D. Thesis, University of Massachusetts, 1971.Google Scholar
  9. [9]
    E. G. Kundert,Problem 5807, The Am. Math. Monthly,78, (6) (1971);Solution 5807, The Am. Math. Monthly,79, (10) (1972).Google Scholar

Copyright information

© Nicola Zanichelli Editore 1974

Authors and Affiliations

  • Esayas George Kundert
    • 1
  1. 1.Amherst

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