TY - JOUR

T1 - On nil subsemigroups of rings with group identities

AU - Beidar, K. I.

AU - Ke, Wen Fong

AU - Liu, Chia-Hsin

PY - 2002/1/1

Y1 - 2002/1/1

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.

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U2 - 10.1081/AGB-120006495

DO - 10.1081/AGB-120006495

M3 - Article

AN - SCOPUS:0036003478

VL - 30

SP - 347

EP - 352

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 1

ER -