The sum of two locally nilpotent rings may contain a free non-commutative subring
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- by Anna Fukshansky PDF
- Proc. Amer. Math. Soc. 128 (2000), 383-386 Request permission
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
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- A. V. Kelarev, A sum of two locally nilpotent rings may be not nil, Arch. Math. (Basel) 60 (1993), no. 5, 431–435. MR 1213511, DOI 10.1007/BF01202307
- A. V. Kelarev, A primitive ring which is a sum of two Wedderburn radical subrings, Proc. Amer. Math. Soc. 125 (1997), no. 7, 2191–2193. MR 1425128, DOI 10.1090/S0002-9939-97-04169-5
- A. Salwa, Rings that are sums of two locally nilpotent subrings, Comm. Algebra 24 (1996), no. 12, 3921–3931. MR 1408514, DOI 10.1080/00927879608825794
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
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 383-386
- MSC (1991): Primary 16N40; Secondary 20M25
- DOI: https://doi.org/10.1090/S0002-9939-99-05005-4
- MathSciNet review: 1622746