# Semiprime rings with nilpotent Lie ring of inner derivations

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2014)

- Volume: 13, Issue: 1, page 103-107
- ISSN: 2300-133X

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topKamil Kular. "Semiprime rings with nilpotent Lie ring of inner derivations." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 13.1 (2014): 103-107. <http://eudml.org/doc/268788>.

@article{KamilKular2014,

abstract = {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},

author = {Kamil Kular},

journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},

keywords = {Lie rings of derivations; semiprime rings; commutativity theorems; Lie-nilpotency; nilpotency},

language = {eng},

number = {1},

pages = {103-107},

title = {Semiprime rings with nilpotent Lie ring of inner derivations},

url = {http://eudml.org/doc/268788},

volume = {13},

year = {2014},

}

TY - JOUR

AU - Kamil Kular

TI - Semiprime rings with nilpotent Lie ring of inner derivations

JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

PY - 2014

VL - 13

IS - 1

SP - 103

EP - 107

AB - 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

LA - eng

KW - Lie rings of derivations; semiprime rings; commutativity theorems; Lie-nilpotency; nilpotency

UR - http://eudml.org/doc/268788

ER -

## References

top- [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] Zbl1185.16044
- [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] Zbl0746.16029
- [4] I.N. Herstein, Noncommutative rings, Carus Mathematical Monographs, 15. Mathematical Association of America, Washington, DC, 1994. Cited on 104. Zbl0177.05801
- [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] Zbl0879.16025

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