| 词条 | Dixmier conjecture |
| 释义 |
In algebra the Dixmier conjecture, asked by Jacques Dixmier in 1968,[1] is the conjecture that any endomorphism of a Weyl algebra is an automorphism. Tsuchimoto in 2005,[2] and independently Belov-Kanel and Kontsevich in 2007,[3] showed that the Dixmier conjecture is stably equivalent to the Jacobian conjecture. References1. ^{{Citation | last1=Dixmier | first1=Jacques | authorlink=Jacques Dixmier |title=Sur les algèbres de Weyl | url=http://www.numdam.org/item?id=BSMF_1968__96__209_0 | mr=0242897 | year=1968 | journal=Bulletin de la Société Mathématique de France | volume=96 | pages=209–242 }} (problem 1) {{algebraic-geometry-stub}}2. ^{{Citation | last1=Tsuchimoto | first1=Yoshifumi | title=Endomorphisms of Weyl algebra and p-curvatures | year=2005 | journal=Osaka J. Math.| volume=42 | pages=435–452}} 3. ^{{Citation | last1=Belov-Kanel | first1=Alexei | last2=Kontsevich | first2=Maxim | title=The Jacobian conjecture is stably equivalent to the Dixmier conjecture | arxiv=math/0512171 | mr=2337879 | year=2007 | journal=Moscow Mathematical Journal | volume=7 | issue=2 | pages=209–218| bibcode=2005math.....12171B }} 2 : Abstract algebra|Conjectures |
| 随便看 |
|
开放百科全书收录14589846条英语、德语、日语等多语种百科知识，基本涵盖了大多数领域的百科知识，是一部内容自由、开放的电子版国际百科全书。