Interpolation in the Automorphism Group of a Polynomial Ring

• 作者: M'hammed El Kahoui Najoua Essamaoui Mustapha Ouali
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 587-598
• 页数: 12页
• 语种: 英文
• DOI: 10.1142/S1005386720000486

摘要

Let R be a commutative ring with unity and SAn(R) be the group of volume-preserving automorphisms of the polynomial R-algebra R[n].Given a proper ideal α of R,we address in this paper the question of whether the canonical group homomorphism SAn(R) → SAn(R/α) is surjective.As an application,we retrieve and generalize,in a unified way,several known results on residual coordinates in polynomial rings.