Rings in which power values of K-Engels with derivations annihilate a certain element
Rings and Algebras
2014-09-23 v1
Abstract
Let R be a 2 torsion free semiprime ring and d a nonzero derivation. Further let A = O(R) be the orthogonal completion of R and B = B(C) the Boolean ring of C where C be the extended centroid of R. We show that if a[[d(x),x]^n- [y, d(y)]^m]^t = 0 such that a in R for all x, y in R, where m, n, t > 0 are fixed integers, then there exists an idempotent e in B such that eA is a commutative ring and d induce a zero derivation on (1-e)A.
Keywords
Cite
@article{arxiv.1409.5951,
title = {Rings in which power values of K-Engels with derivations annihilate a certain element},
author = {Shervin Sahebi and Venus Rahmani},
journal= {arXiv preprint arXiv:1409.5951},
year = {2014}
}
Comments
7 pages