exact sequence

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exact sequence

[ig′zakt ′sē·kwəns]
(mathematics)
A sequence of homomorphisms with the property that the kernel of each homomorphism is precisely the image of the previous homomorphism.
References in periodicals archive ?
Among their topics are elementary modifications for curves, interpolations and short exact sequences, a stronger inductive hypothesis, inductive arguments, and the three exceptional cases.
Those two exact sequences contain the same information.
consisting of exact sequences. Let [bar.[delta]]: [H.sub.2](G) [right arrow] [H.sub.1][(N).sub.G] denote the natural map.
In fact, these exact sequences of events have happened.
The 5' and 3' untranslated regions were obtained by nested PCR with combined specific primers and henipavirus-specific degenerate primers as described (8), and the exact sequences of the 5' and 3' genome termini were determined by rapid amplification of cDNA ends.
Then we obtain a commutative diagram of exact sequences
They cover complexes of modules, short exact sequences of complexes, the category K(R-Mod), co-torsion pairs and triplets in C(R-Mod), adjoint functions, model structures, creating co-torsion pairs, minimal complexes, and Cartan and Eilenberg resolutions.
Theorem 4 There exists such an exact sequence of vector spaces, and it can be explicitly constructed as a direct sum of exact sequences with exactly two non-zero terms.
The Appendix explains the simple construction of an isomorphism of the middle therm of two exact sequences of vector bundles, used in the paper.
We present an approach based on the use of exact sequences of finite element spaces defined with respect to unstructured hexahedral grids.
Their exact sequences and structural relationships, however, had remained elusive.
In [C1] Chinburg used the four term exact sequences of prescribed extension class introduced by Tate in ([T2], pp.