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Original scientific paper

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

M. Conrad

Fulltext: english, pdf (108 KB) pages 61-66 downloads: 242* cite
APA 6th Edition
Conrad, M. (2000). About the kernel of the augmentation of finitely generated Z-modules. Mathematical Communications, 5 (1), 61-66. Retrieved from https://hrcak.srce.hr/864
MLA 8th Edition
Conrad, M.. "About the kernel of the augmentation of finitely generated Z-modules." Mathematical Communications, vol. 5, no. 1, 2000, pp. 61-66. https://hrcak.srce.hr/864. Accessed 24 Feb. 2021.
Chicago 17th Edition
Conrad, M.. "About the kernel of the augmentation of finitely generated Z-modules." Mathematical Communications 5, no. 1 (2000): 61-66. https://hrcak.srce.hr/864
Harvard
Conrad, M. (2000). 'About the kernel of the augmentation of finitely generated Z-modules', Mathematical Communications, 5(1), pp. 61-66. Available at: https://hrcak.srce.hr/864 (Accessed 24 February 2021)
Vancouver
Conrad M. About the kernel of the augmentation of finitely generated Z-modules. Mathematical Communications [Internet]. 2000 [cited 2021 February 24];5(1):61-66. Available from: https://hrcak.srce.hr/864
IEEE
M. Conrad, "About the kernel of the augmentation of finitely generated Z-modules", Mathematical Communications, vol.5, no. 1, pp. 61-66, 2000. [Online]. Available: https://hrcak.srce.hr/864. [Accessed: 24 February 2021]

Abstracts
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.

Keywords
augmentation; basis; module; cyclotomic units

Hrčak ID: 864

URI
https://hrcak.srce.hr/864

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