A basis for the group of units modulo ρᵐ and prime ideal decomposition in F(μ¹/ᵐ)

Persistent Link:
http://hdl.handle.net/10150/298706
Title:
A basis for the group of units modulo ρᵐ and prime ideal decomposition in F(μ¹/ᵐ)
Author:
Velez, William Yslas, 1947-
Issue Date:
1975
Publisher:
The University of Arizona.
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.
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).
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Mathematics
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mathematics
Degree Grantor:
University of Arizona

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleA basis for the group of units modulo ρᵐ and prime ideal decomposition in F(μ¹/ᵐ)en_US
dc.creatorVelez, William Yslas, 1947-en_US
dc.contributor.authorVelez, William Yslas, 1947-en_US
dc.date.issued1975en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © 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.description.abstractIn 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).en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectMathematicsen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.identifier.proquest7603795en_US
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