An exact sequence is a concept in mathematics, especially in ring and module theory, homological algebra, as well as in differential geometry and group theory. An exact sequence is a sequence, either finite or infinite, of objects and morphisms between them such that the image of one morphism equals the kernel of the next.
Read more about Exact Sequence: Definition, Example, Special Cases, Facts, Applications of Exact Sequences
Famous quotes containing the words exact and/or sequence:
“He who asks fortune-tellers the future unwittingly forfeits an inner intimation of coming events that is a thousand times more exact than anything they may say. He is impelled by inertia, rather than curiosity, and nothing is more unlike the submissive apathy with which he hears his fate revealed than the alert dexterity with which the man of courage lays hands on the future.”
—Walter Benjamin (1892–1940)
“Reminiscences, even extensive ones, do not always amount to an autobiography.... For autobiography has to do with time, with sequence and what makes up the continuous flow of life. Here, I am talking of a space, of moments and discontinuities. For even if months and years appear here, it is in the form they have in the moment of recollection. This strange form—it may be called fleeting or eternal—is in neither case the stuff that life is made of.”
—Walter Benjamin (1892–1940)