TY - JOUR
T1 - On nil subsemigroups of rings with group identities
AU - Beidar, K. I.
AU - Ke, Wen Fong
AU - Liu, Chia Hsin
PY - 2002/1
Y1 - 2002/1
N2 - Let R be a unital ring satisfying a group identity. We prove that if B is a nil subsemigroup of R, then it is locally nilpotent, and Bd is contained in the sum of all nilpotent ideals of R, where the positive integer d is determined by the group identity. Note that the above result for PI-rings is due to Amitsur.
AB - Let R be a unital ring satisfying a group identity. We prove that if B is a nil subsemigroup of R, then it is locally nilpotent, and Bd is contained in the sum of all nilpotent ideals of R, where the positive integer d is determined by the group identity. Note that the above result for PI-rings is due to Amitsur.
UR - http://www.scopus.com/inward/record.url?scp=0036003478&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036003478&partnerID=8YFLogxK
U2 - 10.1081/AGB-120006495
DO - 10.1081/AGB-120006495
M3 - Article
AN - SCOPUS:0036003478
SN - 0092-7872
VL - 30
SP - 347
EP - 352
JO - Communications in Algebra
JF - Communications in Algebra
IS - 1
ER -