We classify nilpotent associative algebras of dimensions up to 4 over any field. This isdone by constructing the nilpotent associative algebras as central extensions of algebrasof smaller dimension, analogous to methods known for nilpotent Lie algebras

Classification of nilpotent associative algebras of small dimension / De Graaf, Willem A.. - In: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. - ISSN 0218-1967. - STAMPA. - 2018, 28:1(2018), pp. 133-161. [10.1142/S0218196718500078]

Classification of nilpotent associative algebras of small dimension

De Graaf, Willem A.
2018-01-01

Abstract

We classify nilpotent associative algebras of dimensions up to 4 over any field. This isdone by constructing the nilpotent associative algebras as central extensions of algebrasof smaller dimension, analogous to methods known for nilpotent Lie algebras
2018
1
De Graaf, Willem A.
Classification of nilpotent associative algebras of small dimension / De Graaf, Willem A.. - In: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. - ISSN 0218-1967. - STAMPA. - 2018, 28:1(2018), pp. 133-161. [10.1142/S0218196718500078]
File in questo prodotto:
File Dimensione Formato  
S0218196718500078.pdf

Solo gestori archivio

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 427.84 kB
Formato Adobe PDF
427.84 kB Adobe PDF   Visualizza/Apri
1009.5339.pdf

accesso aperto

Tipologia: Pre-print non referato (Non-refereed preprint)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 292.7 kB
Formato Adobe PDF
292.7 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/203205
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 43
  • ???jsp.display-item.citation.isi??? 39
social impact