Ideals in deformation quantizations over

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• 作者：Akaki Tikaradze ^{tikar06@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：221
• 期：1
• 页码：229-236
• 全文大小：260 K

文摘

Let k be a perfect field of characteristic p>2$p>2$. Let 53c507787472e174b04d568f3" title="Click to view the MathML source">A₁$A_1$ be an Azumaya algebra over a smooth symplectic affine variety over k. Let c25125f" title="Click to view the MathML source">A_n$A_n$ be a deformation quantization of 53c507787472e174b04d568f3" title="Click to view the MathML source">A₁$A_1$ over W_n(k)$W_n(\mathbf{k})$. We prove that all W_n(k)$W_n(\mathbf{k})$-flat two-sided ideals of c25125f" title="Click to view the MathML source">A_n$A_n$ are generated by central elements.