Factoring Ideals in Integral Domains

Buch | Softcover
VIII, 164 Seiten
2012 | 2013
Springer Berlin (Verlag)
978-3-642-31711-8 (ISBN)
64,19 inkl. MwSt
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
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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