On UJ-rings
Rings and Algebras
2017-08-31 v1
Abstract
UJ-rings are studied, i.e. ring in which all units can be presented in a form 1 + x, for some x\in J(R). The behavior of UJ-rings under various algebraic construction is investigated. In particular, it is shown that the problem of lifting the UJ property from a ring R to the polynomial ring R[x] is equivalent to the Kothe's problem for F_2-algebras.
Cite
@article{arxiv.1708.08940,
title = {On UJ-rings},
author = {M. Tamer Kosan and Andre Leroy and Jerzy Matczuk},
journal= {arXiv preprint arXiv:1708.08940},
year = {2017}
}
Comments
8 pages, to appear in Communications in Algebra