Abstract:Let $K$ be an associative and commutative ring with $1$, $k$ a subring of $K$ such that $1\in k$, $n\geq 2$ an integer. The paper describes subrings of the general linear Lie ring $gl_{n} ( K )$ that contain the Lie ring of all traceless matrices over $k$.
Keywords: Lie rings; commutative associative rings
DOI: DOI 10.14712/1213-7243.2015.144
AMS Subject Classification: 17B05