A basis for the group of units modulo ρᵐ and prime ideal decomposition in F(μ¹/ᵐ)
| dc.contributor.author | Velez, William Yslas, 1947- | |
| dc.creator | Velez, William Yslas, 1947- | en_US |
| dc.date.accessioned | 2013-08-15T10:06:07Z | en |
| dc.date.available | 2013-08-15T10:06:07Z | en |
| dc.date.issued | 1975 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10150/298706 | en |
| dc.description.abstract | In Chapter II we consider the problem of constructing an independent set of generators for the multiplicative group of units modulo ρᵐ, where ρ is a prime ideal in an algebraic number field F. Sections 4 and 5 contain a procedure for constructing such a set of independent generators. In Chapters III and IV, we consider the prime ideal decomposition of ρ in F(μ¹/ᵐ). In Chapter III we deal with the situation where (m,ρ) = 1. In Chapter IV we consider the case where m = pᶜ, p is a rational prime, and ρ ⊃ (p). | |
| dc.language.iso | en_US | en_US |
| dc.publisher | The University of Arizona. | en_US |
| dc.rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | A basis for the group of units modulo ρᵐ and prime ideal decomposition in F(μ¹/ᵐ) | en_US |
| dc.type | text | en_US |
| dc.type | Dissertation-Reproduction (electronic) | en_US |
| thesis.degree.grantor | University of Arizona | en_US |
| thesis.degree.level | doctoral | en_US |
| dc.identifier.proquest | 7603795 | en_US |
| thesis.degree.discipline | Graduate College | en_US |
| thesis.degree.discipline | Mathematics | en_US |
| thesis.degree.name | Ph.D. | en_US |
| refterms.dateFOA | 2018-08-30T11:48:21Z | |
| html.description.abstract | In Chapter II we consider the problem of constructing an independent set of generators for the multiplicative group of units modulo ρᵐ, where ρ is a prime ideal in an algebraic number field F. Sections 4 and 5 contain a procedure for constructing such a set of independent generators. In Chapters III and IV, we consider the prime ideal decomposition of ρ in F(μ¹/ᵐ). In Chapter III we deal with the situation where (m,ρ) = 1. In Chapter IV we consider the case where m = pᶜ, p is a rational prime, and ρ ⊃ (p). |
