It is a set with a binary operation on that set.

Most generally, a magma is a set together with some binary operation defined on it.

The distinction is used most often for sets that support both binary operations, such as rings.

It studies sets together with binary operations defined on them.

The binary operations have been named and notated in various ways.

One does not in general study generalizations of fields with "three" binary operations.

Division is not a binary operation on any of these sets.

The binary operations of set union and intersection satisfy many identities.

Addition is a binary operation, which means it has left and right operands.

The binary operation can be called either meet or join.