Commutative matrix subalgebras and length function |
| |
| Authors: | A.E. Guterman O.V. Markova |
| |
| Affiliation: | Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow 119991, GSP-1, Russia |
| |
| Abstract: | It is proved that if the length of a commutative matrix subalgebra is maximal then this subalgebra is maximal under inclusion. The examples are given showing that the converse does not hold. To establish this result, we prove several fundamental properties of the length function. |
| |
| Keywords: | Primary: 13E10, 15A27 Secondary: 15A18 |
| 本文献已被 ScienceDirect 等数据库收录！ |
