Valuation theory of group rings and homology of soluble groups
| Full text | |
| Author(s): |
Giambruno, Antonio
;
La Mattina, Daniela
;
Milies, Cesar Polcino
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. N/A, p. 16-pg., 2024-09-17. |
| Abstract | |
To any associative algebra A is associated a numerical sequence c(n)(delta)(A), n >= 1, called the sequence of proper central codimensions of A. It gives information on the growth of the proper central polynomials of the algebra. If A is a PI-algebra over a field of characteristic zero it has been recently shown that such a sequence either grows exponentially or is polynomially bounded. Here we classify, up to PI-equivalence, the algebras A for which the sequence c(n)(delta)(A), n >= 1, has almost polynomial growth. Then we face a similar problem in the setting of group-graded algebras and we obtain a classification also in this case when the corresponding sequence of proper central codimensions has almost polynomial growth. (AU) | |
| FAPESP's process: | 20/16594-0 - Non commutative rings and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |