A note on completeness in the theory of strongly clean rings

Autor:	Diesl, Alexander J., Dorsey, Thomas J.
Rok vydání:	2009
Předmět:	Mathematics - Rings and Algebras 16E50 16U99
Druh dokumentu:	Working Paper
Popis:	Many authors have investigated the behavior of strong cleanness under certain ring extensions. In this note, we prove that if $R$ is a ring which is complete with respect to an ideal $I$ and if $x$ is an element of $R$ whose image in $R/I$ is strongly $\pi$-regular, then $x$ is strongly clean in $R$. Comment: 5 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0907.2281 Zobrazit plný text záznamu View this record from Arxiv