Factoring Ideals in Integral Domains
Marco Fontana, Evan Houston, Thomas Lucas (auth.)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. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.
种类:
年:
2013
出版:
1
出版社:
Springer-Verlag Berlin Heidelberg
语言:
english
页:
164
ISBN 10:
364231712X
ISBN 13:
9783642317125
系列:
Lecture Notes of the Unione Matematica Italiana 14
文件:
PDF, 1.43 MB
IPFS:
,
english, 2013
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