Advanced search
Publication Cover
Communications in Algebra Volume 38, 2010 - Issue 10
Submit an article Journal homepage
66
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Residually Finite Varieties of Nonassociative Algebras

Keith A. Kearnes Department of Mathematics, University of Colorado, Boulder, Colorado, USACorrespondencekearnes@[email protected]
&
Young Jo Kwak Department of Mathematics, University of Colorado, Boulder, Colorado, USA
Pages 3705-3727 | Received 13 Jan 2009, Published online: 24 Nov 2010
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

We prove that if 𝒱 is a residually finite variety of nonassociative algebras over a finite field, and the enveloping algebra of each finite member of 𝒱 is finitely generated as a module over its center, then 𝒱 is generated by a single finite algebra.

2000 Mathematics Subject Classification:

Notes

Communicated by A. Olshanskii.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.