Let δ and ε be the inner derivations of UT m(F) induced by the unit matrices e 1m and e mm respectively. We study the differential polynomial identities of the algebra UT m(F) under the coupled action of δ and ε. We produce a basis of the differential identities, then we determine the S n-structure of their proper multilinear spaces and, for the minimal cases m = 2, 3, their exact differential codimension sequence.
(δ, ε)-DIFFERENTIAL IDENTITIES OF UTm(F)
Vincenzo Nardozza
2021-01-01
Abstract
Let δ and ε be the inner derivations of UT m(F) induced by the unit matrices e 1m and e mm respectively. We study the differential polynomial identities of the algebra UT m(F) under the coupled action of δ and ε. We produce a basis of the differential identities, then we determine the S n-structure of their proper multilinear spaces and, for the minimal cases m = 2, 3, their exact differential codimension sequence.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Paper_Nardozza_Postprint.pdf
accesso aperto
Descrizione: Postprint
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
376.57 kB
Formato
Adobe PDF
|
376.57 kB | Adobe PDF | Visualizza/Apri |
|
(2021) - VN - (delta,epsilon)-differential identities.pdf
non disponibili
Descrizione: Articolo
Tipologia:
Documento in Versione Editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
10.72 MB
Formato
Adobe PDF
|
10.72 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
