External (mathematics)

External (mathematics)

The term external is useful for describing certain algebraic structures. The term comes from the concept of an external binary operation which is a binary operation that draws from some external set. To be more specific, a left external binary operation on S over R is a function and a right external binary operation on S over R is a function where S is the set the operation is defined on, and R is the external set (the set the operation is defined over).

Read more about External (mathematics):  Generalizations, External Monoids, Modules As External Rings, Other Examples, Usefulness

Famous quotes containing the word external:

    When a person hasn’t in him that which is higher and stronger than all external influences, it is enough for him to catch a good cold in order to lose his equilibrium and begin to see an owl in every bird, to hear a dog’s bark in every sound.
    Anton Pavlovich Chekhov (1860–1904)