About the kernel of the augmentation of finitely generated Z-modules
dc.contributor.author | Conrad, Marc | en_GB |
dc.date.accessioned | 2013-04-07T21:58:36Z | |
dc.date.available | 2013-04-07T21:58:36Z | |
dc.date.issued | 2000 | |
dc.identifier.citation | Conrad, M., (2000) 'About the Kernel of the Augmentation of finitely generated Z-modules', Mathematical Communications 5, pp. 61-66 | en_GB |
dc.identifier.issn | 1331-0623 | |
dc.identifier.uri | http://hdl.handle.net/10547/279226 | |
dc.description.abstract | 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. | |
dc.language.iso | en | en |
dc.publisher | University of Osijek | en_GB |
dc.relation.url | http://hrcak.srce.hr/864?lang=en | en_GB |
dc.subject | augmentation | en_GB |
dc.subject | cyclotomic units | en_GB |
dc.title | About the kernel of the augmentation of finitely generated Z-modules | en |
dc.type | Article | en |
dc.identifier.journal | Mathematical Communications | en_GB |
html.description.abstract | 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. |