@article{38f787814d534c668f0bc25cb7dc608f,
title = "Extremely noncommutative elements in rings",
abstract = "We study rings and K-algebras in which all elements or all noncentral elements have smallest possible centralizer. Our principal result asserts that a ring R must be either finite or commutative if each noncentral element a has centralizer equal to the subring generated by a.",
keywords = "Centralizer, Extremely noncommutative element, Indecomposable ring, Peirce decomposition, Periodic ring, Potent element",
author = "Bell, {Howard E.} and Klein, {Abraham A.}",
note = "Funding Information: Supported by the Natural Sciences and Engineering Research Council of Canada, Grant 3961. ",
year = "2008",
month = jan,
doi = "10.1007/s00605-007-0505-1",
language = "אנגלית",
volume = "153",
pages = "19--24",
journal = "Monatshefte fur Mathematik",
issn = "0026-9255",
publisher = "Springer-Verlag Wien",
number = "1",
}