TY - JOUR
T1 - On almost-quasi-commutative rings
AU - Bell, H. E.
AU - Klein, A. A.
PY - 2009/1
Y1 - 2009/1
N2 - A ring R is called almost-quasi-commutative if for each x, y R there exist nonzero relatively prime integers j = j(x, y) and k = k(x, y) and a non-negative integer n = n(x, y) such that jxy = k(yx) n . We establish some general properties of such rings, study commutativity of almost-quasi- commutative R, and consider several examples.
AB - A ring R is called almost-quasi-commutative if for each x, y R there exist nonzero relatively prime integers j = j(x, y) and k = k(x, y) and a non-negative integer n = n(x, y) such that jxy = k(yx) n . We establish some general properties of such rings, study commutativity of almost-quasi- commutative R, and consider several examples.
KW - Almost-quasi-commutative ring
KW - Commutator ideal
KW - Generalized quasi-periodic ring
KW - J-ring
KW - Periodic ring
UR - http://www.scopus.com/inward/record.url?scp=63049093339&partnerID=8YFLogxK
U2 - 10.1007/s10474-008-7238-z
DO - 10.1007/s10474-008-7238-z
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AN - SCOPUS:63049093339
SN - 0236-5294
VL - 122
SP - 121
EP - 130
JO - Acta Mathematica Hungarica
JF - Acta Mathematica Hungarica
IS - 1-2
ER -