Factoring Ideals in Integral Domains
Factoring Ideals in Integral Domains
Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783642317125
Condition
New
Product Description
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. Prfer domains play a central role in our study, but many non-Prfer examples are considered as well.
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