On the Lie structure of locally matrix algebras

Array

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DOI:

https://doi.org/10.15330/cmp.12.2.311-316

Keywords:

locally matrix algebra, derivation

Abstract

Let $A$ be a unital locally matrix algebra over a field $\mathbb{F}$ of characteristic different from $2.$ We find a necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivations $\text{Der}(A)$ to be topologically simple. The condition depends on the Steinitz number of $A$ only.

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Published

2020-10-20

How to Cite

(1)
Bezushchak, O. On the Lie Structure of Locally Matrix Algebras: Array. Carpathian Math. Publ. 2020, 12, 311-316.

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Scientific articles