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manuscripta mathematica

, Volume 17, Issue 1, pp 55–66 | Cite as

Semirigid GCD domains

  • Muhammad Zafrullah
Article

Abstract

Let R be a commutative integral domain. An element x of R is calledrigid if for all r,s dividing x; r divides s or s divides r. In our terminology, R issemirigid if each non zero non unit of R is a finite product of rigid elements. We show that semirigid GCD domains have a type of unique factorization, and are a known generalization of Krull domains.

Keywords

Number Theory Algebraic Geometry Topological Group Integral Domain Unique Factorization 
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.

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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Muhammad Zafrullah
    • 1
  1. 1.Department of MathematicsUMISTManchesterUK

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