Pajoohesh, H.; Rodriguez, P.; Waddell, C. Nilpotent inner derivations on some subrings of \(M_n(\mathbb R)\). (English) Zbl 1278.16038 J. Algebra Appl. 12, No. 8, Article ID 1350045, 9 p. (2013). 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.) Keywords:inner derivations; nilpotent derivations; rings of matrices; degrees of nilpotency Citations:Zbl 1229.16034 PDFBibTeX XMLCite \textit{H. Pajoohesh} et al., J. Algebra Appl. 12, No. 8, Article ID 1350045, 9 p. (2013; Zbl 1278.16038) Full Text: DOI References: [1] DOI: 10.1090/S0002-9939-1984-0727235-3 · doi:10.1090/S0002-9939-1984-0727235-3 [2] Ebrahimi M., Kyungpook Math. J. 44 pp 293– (2004) [3] DOI: 10.1017/CBO9780511840371 · doi:10.1017/CBO9780511840371 [4] Hungerfor T. W., Algebra (1974) [5] DOI: 10.1007/978-1-4684-0406-7 · doi:10.1007/978-1-4684-0406-7 [6] DOI: 10.1090/S0002-9939-1986-0848869-3 · doi:10.1090/S0002-9939-1986-0848869-3 [7] DOI: 10.1137/1.9780898719512 · doi:10.1137/1.9780898719512 [8] DOI: 10.2989/16073600709486199 · Zbl 1144.06010 · doi:10.2989/16073600709486199 [9] Pajoohesh H., Int. Math. Forum 6 pp 713– (2011) [10] DOI: 10.1090/S0002-9939-1957-0095863-0 · doi:10.1090/S0002-9939-1957-0095863-0 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.