Projective Freeness of Algebras of Real Symmetric Functions |
| |
| Authors: | Amol Sasane |
| |
| Institution: | (1) Department of Mathematics, London School of Economics, Houghton Street, London, WC2A 2AE, United Kingdom;(2) Mathematics Department, Brown University, 151 Thayer Street, Box 1917, Providence, RI 02912, USA |
| |
| Abstract: | Let
\mathbb Dn:={z=(z1,?, zn) ? \mathbb Cn:|zj| < 1, j=1,?, n}{\mathbb {D}^n:=\{z=(z_1,\ldots, z_n)\in \mathbb {C}^n:|z_j| < 1, j=1,\ldots, n\}}, and let
`(\mathbbD)]n{\overline{\mathbb{D}}^n} denote its closure in
\mathbb Cn{\mathbb {C}^n}. Consider the ring
|
Cr(`(\mathbbD)]n;\mathbb C) = {f:`(\mathbbD)]n? \mathbb C:f is continuous and f(z)=`(f(`(z)]))] (z ? `(\mathbbD)]n)}C_{\rm r}(\overline{\mathbb{D}}^n;\mathbb {C}) =\left\{f: \overline{\mathbb{D}}^n\rightarrow \mathbb {C}:f \,\, {\rm is \,\, continuous \,\, and}\,\, f(z)=\overline{f(\overline{z})} (z\in \overline{\mathbb{D}}^n)\right\} |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
|
