On commutativity of ideal extensions
Rings and Algebras
2013-05-15 v1
Abstract
In this paper we examine the commutativity of ideal extensions. We introduce methods of constructing such extensions, in particular we construct a noncommutative ring T which contains a central and idempotent ideal I such that T/I is a field. This answers a question from [2]. Moreover we classify fields of characteristic 0 which can be obtained as T/I for some T.
Cite
@article{arxiv.1305.3024,
title = {On commutativity of ideal extensions},
author = {Joachim Jelisiejew},
journal= {arXiv preprint arXiv:1305.3024},
year = {2013}
}
Comments
7 pages