Published January 1, 2013 | Version v1
Journal article Open

AN INTERMEDIATE RING BETWEEN A POLYNOMIAL RING AND A POWER SERIES RING

  • 1. Gebze Inst Technol, Dept Math, TR-41400 Gebze, Kocaeli, Turkey
  • 2. Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan
  • 3. Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

Description

Let R[x] and R[[x]] respectively denote the ring of polynomials and the ring of power series in one indeterminate x over a ring R. For an ideal I of R, denote by [R; I)[x] the following subring of R[[x]]:

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