  We call a ring R pointwise semicommutative if for any element a in R either
l(a) or r(a) is an ideal of R. A class of pointwise semicommutative rings is a
strict generalization of semicommutative rings. Since reduced rings are
pointwise semicommutative, this paper studies sufficient conditions for
pointwise semicommutative rings to be reduced. For a pointwise semicommutative
ring R, R is strongly regular if and only if R left SF ; R is exchange if and
only if R is clean; if R is semiperiodic then R/J(R) is commutative.
