An algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-algebra satisfy a polynomial identity? 2. Is every algebraically generated GI-algebra locally finite?
Titolo: | Group identities on the units of algebraic algebras with applications to restricted enveloping algebras |
Autori: | |
Data di pubblicazione: | 2008 |
Rivista: | |
Abstract: | An algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-algebra satisfy a polynomial identity? 2. Is every algebraically generated GI-algebra locally finite? |
Handle: | http://hdl.handle.net/11587/107517 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.