Efficient generation of ideals in overrings of polynomial rings

• Mrinal Kanti Das ^[1] ; Md. Ali Zinna ^[1]
  1. [1] Indian Statistical Institute

     Indian Statistical Institute

     India

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 9 (September 2015), 2015, págs. 4016-4034
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.02.002
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• Resumen

  • Let R be a commutative Noetherian ring. This paper examines the question of efficient generation of ideals in a birational overring of R[X]. Also, we study similar questions for rings of the type R[X,Y]/(XY). These studies enable us to compute the Euler class groups for those two types of rings.