@inproceedings{73e1ce1052c04c5a9b756294398bc473,
title = "Strongly J-Clean Rings with Involutions",
abstract = "A *-ring R is strongly J-*-clean provided that for any a is an element of R, there exists a projection e is an element of R such that a - e is an element of J(R) and ae = ea where J(R) is the Jacobson radical of R. Here it is proved that a *-ring R is strongly J-*-clean, if and only if R is uniquely clean and strongly *-clean, if and only if for any a is an element of R, there exists a unique projection e is an element of R such that a - e is invertible and ae = ea. As a consequence, strong J-cleanness and uniquely strong cleanness coincide with each other under any involutions.",
keywords = "Strongly J-clean rings, Strongly *-clean rings, Uniquely clean rings",
author = "Huanyin Chen and Abdullah Harmanci and Ozcan, \{A. Cigdem\}",
year = "2014",
doi = "10.1090/conm/609/12122",
language = "English",
isbn = "978-0-8218-8797-4",
volume = "609",
series = "Contemporary Mathematics",
publisher = "Amer Mathematical Soc",
pages = "33--+",
editor = "DV Huynh and SK Jain and SR LopezPermouth and ST Rizvi and CS Roman",
booktitle = "Ring Theory And Its Applications: Ring Theory Session In Honor Of T.y. Lam On His 70th Birthday",
note = "31st Ohio State-Denison Mathematics Conference ; Conference date: 25-05-2012 Through 27-05-2012",
}