In abstract algebra, extension of scalars is a means of producing a module over a ring from a module over another ring, given a homomorphism between them. Intuitively, the new module admits multiplication by more scalars than the original one, hence the name extension.
Read more about Extension Of Scalars: Definition, Examples, Interpretation As A Functor, Connection With Restriction of Scalars
Famous quotes containing the words extension of and/or extension:
“The medium is the message. This is merely to say that the personal and social consequences of any medium—that is, of any extension of ourselves—result from the new scale that is introduced into our affairs by each extension of ourselves, or by any new technology.”
—Marshall McLuhan (1911–1980)
“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)