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)
“Slavery is founded on the selfishness of man’s nature—opposition to it on his love of justice. These principles are in eternal antagonism; and when brought into collision so fiercely as slavery extension brings them, shocks and throes and convulsions must ceaselessly follow.”
—Abraham Lincoln (1809–1865)