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Nilpotent inner derivations on some subrings of \(M_n(\mathbb R)\). (English) Zbl 1278.16038

Summary: It is known that the degree of nilpotency of a nilpotent derivation on a prime ring including the ring of \(n\times n\) matrices must be an odd number. In this article we introduce subrings of the ring of \(n\times n\) matrices that admit derivations with an even degree of nilpotency.

MSC:

16W25 Derivations, actions of Lie algebras
16S50 Endomorphism rings; matrix rings
15B33 Matrices over special rings (quaternions, finite fields, etc.)

Citations:

Zbl 1229.16034
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