| Full text | |
| Author(s): |
Kaygorodov, Ivan
;
Volkov, Yury
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 45, n. 8, p. 3413-3421, 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
In 1990 Kantor defined the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector space. If n>1, then the algebra W(n) does not belong to any well-known class of algebras (such as associative, Lie, Jordan, or Leibniz algebras). We describe automorphisms, one-sided ideals, and idempotents of W(2). Also similar problems are solved for the algebra W-2 of all commutative algebras on the 2-dimensional vector space and for the algebra S-2 of all commutative algebras with trace zero multiplication on the 2-dimensional vector space. (AU) | |
| FAPESP's process: | 14/24519-8 - Generalized derivations of non associative algebras and superalgebras |
| Grantee: | Ivan Kaygorodov |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/19521-3 - Structures on the Hochschild cohomology and homology for associative algebras |
| Grantee: | Iurii Volkov |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |