Factoring ideals in integral domains
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書誌事項
Factoring ideals in integral domains
(Lecture notes of the Unione matematica italiana, 14)
Springer, c2013
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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. Prufer domains play a central role in our study, but many non-Prufer examples are considered as well.
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