Subalgebras of free algebras-Reference-Cited by-同舟云学术

Subalgebras of free algebras

Published:1996 Issue:7 Volume:124 Page:1977-1984
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mikhalev A.,Shpilrain V.,Zolotykh A.

Abstract

We use non-commutative Jacobian matrix to get information on finitely generated subalgebras of a free Lie algebra. In particular, we show that the rank of such a subalgebra is equal to the left rank (i.e., to the maximal number of left independent rows) of the corresponding Jacobian matrix; this also yields an effective procedure for finding the rank of a finitely generated subalgebra.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-07/S0002-9939-96-03593-9/S0002-9939-96-03593-9.pdf

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