Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The sum of two locally nilpotent rings
may contain a free non-commutative subring


Author: Anna Fukshansky
Journal: Proc. Amer. Math. Soc. 128 (2000), 383-386
MSC (1991): Primary 16N40; Secondary 20M25
Published electronically: July 6, 1999
MathSciNet review: 1622746
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A family of examples of semigroup algebras is constructed each of which is a sum of two locally nilpotent subalgebras but yet contains a free subalgebra which is freely generated by two elements.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16N40, 20M25

Retrieve articles in all journals with MSC (1991): 16N40, 20M25


Additional Information

Anna Fukshansky
Affiliation: Martin-Luther-Universität Halle-Wittenberg, Fachbereich Mathematik und Informatik, Institut für Algebra und Geometrie, 06099 Halle, Germany
Address at time of publication: Department of Computer Science, Royal Holloway University of London, Egham Surrey TW20 0EX, United Kingdom
Email: A.Fukshansky@dcs.rhbnc.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05005-4
PII: S 0002-9939(99)05005-4
Keywords: Nilpotent rings, locally nilpotent rings, nil rings
Received by editor(s): October 9, 1997
Received by editor(s) in revised form: April 9, 1998
Published electronically: July 6, 1999
Communicated by: Ken Goodearl
Article copyright: © Copyright 1999 American Mathematical Society