Rings Of Analytic Functions

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Rings Of Analytic Functions

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Author : John Wermer
language : en
Publisher:
Release Date : 1957

Rings Of Analytic Functions written by John Wermer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Analytic functions categories.

Rings Of Analytic Functions

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Author : Julianne Souchek
language : en
Publisher:
Release Date : 1968

Rings Of Analytic Functions written by Julianne Souchek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Functions categories.

Rings Of Analytic Functions

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Author : John Wermer
language : en
Publisher:
Release Date : 1957

Rings Of Analytic Functions written by John Wermer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Analytic functions categories.

On The Unit 1 Stable Rank Of Rings Of Analytic Functions

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Author : Joan Josep Carmona
language : en
Publisher:
Release Date :

On The Unit 1 Stable Rank Of Rings Of Analytic Functions written by Joan Josep Carmona and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Seminars On Analytic Functions

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Author :
language : en
Publisher:
Release Date : 1958

Seminars On Analytic Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Analytic functions categories.

Some Curiosities Of Rings Of Analytic Functions

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Author : C. U. Jensen
language : en
Publisher:
Release Date : 1985

Some Curiosities Of Rings Of Analytic Functions written by C. U. Jensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Rings Of Analytic Functions On An Open Riemann Surface

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Author : H. L. Royden
language : en
Publisher:
Release Date : 1955

Rings Of Analytic Functions On An Open Riemann Surface written by H. L. Royden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Riemann surfaces categories.

A Ring Of Analytic Functions

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Author : Robert Morgan Brooks
language : en
Publisher:
Release Date : 1964

A Ring Of Analytic Functions written by Robert Morgan Brooks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.

Ideal Theory In Rings Of Analytic Functions

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Author : Clark Hershall Kimberling
language : en
Publisher:
Release Date : 1966

Ideal Theory In Rings Of Analytic Functions written by Clark Hershall Kimberling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Algebraic functions categories.

Ideal Structure Of Rings Of Analytic Functions With Non Archimedean Metrics

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Author : Nicholas Bruno (Ph. D. in mathematics)
language : en
Publisher:
Release Date : 2021

Ideal Structure Of Rings Of Analytic Functions With Non Archimedean Metrics written by Nicholas Bruno (Ph. D. in mathematics) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Analytic functions categories.

O. Helmer’s work applied algebraic methods to the field of complex analysis when he proved the ring of entire functions in the complex plane is a Bezout Domain (i.e., all finitely generated ideals are principal). This inspired M. Henriksen’s work which proved a correspondence between the maximal ideals within the ring of entire functions and ultrafilters on sets of zeros as well as a correspondence between the prime ideals and growth rates on the multiplicities of zeros. We prove analogous results in rings of analytic functions in the non-Archimedean context: all finitely generated ideals in the ring of analytic functions on a disk (or an annulus) of a characteristic zero non-Archimedean field are two-generated but not guaranteed to be principal. We also classify the prime, maximal, closed, and divisorial ideals. We prove the maximal and prime ideal structure in the non-Archimedean context is similar to that of the ordinary complex numbers; however, the methodology has to be significantly altered to account for the failure of Weierstrass factorization on balls of finite radius in fields which are not spherically complete, which was proven by Lazard.