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ring
- (MATH) Another name for an annulus.
- (MATH) A set
(see set theory) with the following
properties: it has two binary operations, addition
and multiplication (+ and ×);
it is an Abelian group under addition;
multiplication is associative, and
distributive over addition; and
a and b are members of the set, a×b
has a unique value c, also a member of the set. If there is
a member n of the set such that a × n
= a for every member a of the set, the ring is a ring
with unity. A ring in which multiplication is commutative
is a commutative ring.
Compare with field.
• ALGEBRA - (ASTRON) See planetary ring.
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