On linearly ordered linear algebras |
| |
| Authors: | J V Kochetova E E Shirshova |
| |
| Institution: | 1. Moscow State Pedagogical University, Moscow, Russia
|
| |
| Abstract: | The Kopytov order for any algebras over a field is considered. Necessary and sufficient conditions for an algebra to be a linearly ordered algebra are presented. Some results concerning the properties of ideals of linearly ordered algebras are obtained. Some examples of algebras with the Kopytov order are described. The Kopytov order for these examples induces the order on other algebraic objects. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
