chain complex

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chain complex

[′chān ‚käm‚pleks]
(mathematics)
A sequence {Cn }, -∞ <>n < ∞,="" of="" abelian="" groups="" together="" with="" a="" sequence="" of="" boundary="" homomorphisms="">dn : CnCn-1such that dn-1° dn = 0 for each n.
References in periodicals archive ?
Leroyer AS, Ebrahimian TG, Cochain C, Recalde A, Blanc-Brude O, Mees B, et al.
In Section 2 and Section 3 we give a short overview of N-structures, such as N-differential module, cochain N-complex, generalized cohomologies of an N-complex, and graded q-differential algebra.
A cochain complex is a Z-graded differential module E = [[direct sum].
A cochain N-complex of modules or simply an N-complex is a Z-graded N-differential module E = [[direct sum].
Likewise the map U makes them into cochain complexes, i.
op] for a cochain complex C denotes the opposite chain complex that one obtains by reindexing in the opposite order and reversing all the arrows.