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About the kernel of the augmentation of finitely generated Z-modules

M. Conrad


Puni tekst: engleski pdf 108 Kb

str. 61-66

preuzimanja: 303

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Sažetak

Let M be a free finitely generated Z-module with basis B
and ΔM the kernel of the homomorphism M→Z which maps B to 1. A basis of ΔM can be easily constructed from the basis B of M. Let further R be a submodule of M such that N = M/R is free. The subject of investigation is the module ΔN = (ΔM + R) / R. We compute the index [N:ΔN] and construct bases of ΔN with the help of a basis of N. Finally, the results are applied to a special class of modules which is connected with the group of cyclotomic units.

Ključne riječi

augmentation, basis, module, cyclotomic units

Hrčak ID:

864

URI

https://hrcak.srce.hr/864

Posjeta: 927 *