Factoring Ideals in Integral Domains
Seiten
2012
|
2013
Springer Berlin (Verlag)
978-3-642-31711-8 (ISBN)
Springer Berlin (Verlag)
978-3-642-31711-8 (ISBN)
This volume provides a wide-ranging survey of, and many new results on, various important typesof 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.
Erscheint lt. Verlag | 15.9.2012 |
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Reihe/Serie | Lecture Notes of the Unione Matematica Italiana |
Zusatzinfo | VIII, 164 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 276 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | 13AXX, 13CXX, 13GXX, 14A05, 11AXX • Algebra • Dedekind domain • h-local domain • ideal factorization • trace property |
ISBN-10 | 3-642-31711-1 / 3642317111 |
ISBN-13 | 978-3-642-31711-8 / 9783642317118 |
Zustand | Neuware |
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