| Full text | |
| Author(s): |
Fernandez, J. C. Gutierrez
;
Grishkov, A.
;
Vanegas, E. O. Quintero
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. N/A, p. 19-pg., 2022-06-23. |
| Abstract | |
The aim of this paper is to study the structure of irreducible modules in the variety M of commutative power-associative nilalgebras of nilindex <= 4. If A is an element of M with dimension at most 5, then we prove that A(2) is contained in the annihilator of every irreducible A-module in the variety M. Also, we consider the enveloping algebra of an algebra A in the variety M and we obtain a new example of a commutative power-associative non-nilpotent nilalgebra of dimension 9. (AU) | |
| FAPESP's process: | 18/13705-6 - II Joint Meeting Spain-Brazil in Mathematics |
| Grantee: | Juan Carlos Gutiérrez Fernández |
| Support Opportunities: | Research Grants - Meeting - Abroad |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |