Prime and semiprime rings with symmetric skew n-derivations

Ajda Fošner

Colloquium Mathematicae (2014)

  • Volume: 134, Issue: 2, page 245-253
  • ISSN: 0010-1354

Abstract

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Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.

How to cite

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Ajda Fošner. "Prime and semiprime rings with symmetric skew n-derivations." Colloquium Mathematicae 134.2 (2014): 245-253. <http://eudml.org/doc/283432>.

@article{AjdaFošner2014,
abstract = {Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.},
author = {Ajda Fošner},
journal = {Colloquium Mathematicae},
keywords = {prime rings; semiprime rings; skew -derivations; symmetric skew derivations; centralizing maps; commuting maps; commutativity theorems},
language = {eng},
number = {2},
pages = {245-253},
title = {Prime and semiprime rings with symmetric skew n-derivations},
url = {http://eudml.org/doc/283432},
volume = {134},
year = {2014},
}

TY - JOUR
AU - Ajda Fošner
TI - Prime and semiprime rings with symmetric skew n-derivations
JO - Colloquium Mathematicae
PY - 2014
VL - 134
IS - 2
SP - 245
EP - 253
AB - Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.
LA - eng
KW - prime rings; semiprime rings; skew -derivations; symmetric skew derivations; centralizing maps; commuting maps; commutativity theorems
UR - http://eudml.org/doc/283432
ER -

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