Abstract
A well-known theorem of Jacobson (1) asserts that if every
element a of a ring A satisfies a relation
an(a) = a where n(a) > 1 is
an integer, then A is a commutative ring. Thus the condition used in
Jacobson's theorem is a sufficient condition for commutativity. However the
condition is by no means a necessary one, as it is satisfied by a very
restricted class of commutative rings.
Publisher
Canadian Mathematical Society
Cited by
29 articles.
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