Exact Sequence

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:

    If we define a sign as an exact reference, it must include symbol because a symbol is an exact reference too. The difference seems to be that a sign is an exact reference to something definite and a symbol an exact reference to something indefinite.
    William York Tindall (1903–1981)

    It isn’t that you subordinate your ideas to the force of the facts in autobiography but that you construct a sequence of stories to bind up the facts with a persuasive hypothesis that unravels your history’s meaning.
    Philip Roth (b. 1933)