The Grassmann algebra, E, generated by an infinite dimensional vector space, L, and its Z2-graded polynomial identities play an important role in Kemer’s structure theory on varieties of associative algebras with polynomial identities. In this paper we study the Z2-graded polynomial identities of E with respect to any fixed Z2-grading such that L is an homogeneous sub-space. We found explicit generators for the ideal, T_2(E), of graded polynomial identities of E and we determine its graded-cocharacter and graded-codimension sequences.
On Z_2-graded polynomial identities of the Grassmann Algebra
DI VINCENZO, Onofrio Mario;
2009-01-01
Abstract
The Grassmann algebra, E, generated by an infinite dimensional vector space, L, and its Z2-graded polynomial identities play an important role in Kemer’s structure theory on varieties of associative algebras with polynomial identities. In this paper we study the Z2-graded polynomial identities of E with respect to any fixed Z2-grading such that L is an homogeneous sub-space. We found explicit generators for the ideal, T_2(E), of graded polynomial identities of E and we determine its graded-cocharacter and graded-codimension sequences.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2009_LAA_omDV_vrtDS.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
DRM non definito
Dimensione
253.58 kB
Formato
Adobe PDF
|
253.58 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
