@article{dc891e7fc7514c67b4f9e42b43fa3255,
title = "Group identities and prime rings generated by units",
abstract = "Let R be a prime ring and U(R) the group of units of R. We prove that if U(R) generates R and satisfies a group identity, then R is either a domain or a full matrix ring over a finite field.",
keywords = "Generalized polynomial identities, Group identities, Prime rings, Units",
author = "Lee, {Tsiu Kwen} and Liu, {Chia Hsin}",
note = "Funding Information: The work was partially supported by NSC. The second author thanks National Sun Yat-sen University. Part of the research was done there.",
year = "2003",
month = jul,
doi = "10.1081/AGB-120022227",
language = "English",
volume = "31",
pages = "3305--3309",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "7",
}