Factoring Ideals in Integral Domain - E-book

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Factoring Ideals In Integral Domains - ENG

Marco Fontana; Evan Houston; Thomas Lucas

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Sinopsis

ISBN:	9783642317125
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Álgebra general
Año de publicación:	2012-09-14

This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years. Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and a product of maximal ideals and (2) those with pseudo-Dedekind factorization, in which each nonzero, noninvertible ideal can be factored as the product of an invertible ideal with a product of pairwise comaximal prime ideals. PrÃ¼fer domains play a central role in our study, but many non-PrÃ¼fer examples are considered as well.

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