chain homomorphism

chain homomorphism

[′chān ‚hō·mō′mȯr‚fiz·əm] (mathematics) A sequence of homomorphisms ƒ n : Cn → Dn between the groups of two chain complexes such that ƒn-1 dn = d̄n ƒn where dn and d̄n are the boundary homomorphisms of {Cn } and {Dn } respectively.