Semiprime rings with nilpotent Lie ring of inner derivations

• Autorzy: Kamil Kular
• Języki publikacji: EN

Abstrakty

EN

We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2014
• Tom: 13

Daty

wydano

2014-12-01

otrzymano

2014-05-22

poprawiono

2014-07-22

online

2014-12-11

Twórcy

autor

Kamil Kular

• Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków Poland

Bibliografia

• [1] N. Argaç, H.G. Inceboz, Derivations of prime and semiprime rings, J. Korean Math. Soc. 46 (2009), no. 5, 997-1005. Cited on 104.[Crossref]
• [2] M.J. Atteya, Commutativity results with derivations on semiprime rings, J. Math. Comput. Sci. 2 (2012), no. 4, 853-865. Cited on 104.
• [3] M.N. Daif, H.E. Bell, Remarks on derivations on semiprime rings, Internat. J. Math. Math. Sci. 15 (1992), no. 1, 205-206. Cited on 104.[Crossref]
• [4] I.N. Herstein, Noncommutative rings, Carus Mathematical Monographs, 15. Mathematical Association of America, Washington, DC, 1994. Cited on 104.
• [5] M. Hongan, A note on semiprime rings with derivation, Internat. J. Math. Math. Sci. 20 (1997), no. 2, 413-415. Cited on 104.[Crossref]

Identyfikatory

DOI

10.2478/aupcsm-2014-0008