Half-factorial subrings of factorial domains

• Peter Malcolmson ^[1] ; Frank Okoh ^[1]
  1. [1] Wayne State University

     Wayne State University

     City of Detroit, Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 3 (March 2016), 2016, págs. 877-891
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.06.011
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• Resumen

  • A half-factorial domain D is a domain in which every non-zero element that is not a unit is a product of a unique number of irreducible elements of D. We characterize half-factorial subrings R of factorial domains S when S is the integral closure of R and their unit groups are identical. Let A be a factorial domain and A[T]A[T] the polynomial ring over A in the variable T. The characterization is used to describe the half-factorial A-subalgebras R with multiplicative conductors of A[T]A[T] into R.