Skip to main content
SpringerLink
Log in

Arithmetical semigroups defined by congruences

  • Research Article
  • Published:
Semigroup Forum Aims and scope Submit manuscript

Abstract

We investigate multiplicative subsemigroups of N defined by congruences and give necessary and sufficient conditions for the existence of a divisor theory and espacially for unique factorization.

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

Similar content being viewed by others

References

  1. F. Halter-Koch, Halbgruppen mit Divisorentheorie, Expo. math. (to appear).

  2. R. D. James, I. Niven, Unique factorization in multiplicative systems, Proc. AMS5 (1954), 834–838

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Mathematik, Karl-Franzens-Universität, Halbärthgasse 1/I, A-8010, Graz, Österreich

    Franz Halter-Koch

Authors
  1. Franz Halter-Koch
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by L. Márki

Rights and permissions

Reprints and permissions

About this article

Cite this article

Halter-Koch, F. Arithmetical semigroups defined by congruences. Semigroup Forum 42, 59–62 (1991). https://doi.org/10.1007/BF02573406

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02573406

Keywords

Search

Navigation