chain complex

(redirected from Bicomplex)

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 ?
Xu, "Coherent source localization: Bicomplex polarimetric smoothing with electromagnetic vector-sensors," IEEE Transactions on Aerospace and Electronic Systems, Vol.
In this case, only the bicomplex case is covered (it is a particular case, but sufficient for most of the applications of the BPL in Kenzo [10]), but the whole constructive path is included: effective and locally effective objects are worked together, producing an effective homology algorithm.