Factoring Ideals in Integral Domains von Marco Fontana | ISBN 9783642317125

Factoring Ideals in Integral Domains

von Marco Fontana, Evan Houston und Thomas Lucas
Mitwirkende
Autor / AutorinMarco Fontana
Autor / AutorinEvan Houston
Autor / AutorinThomas Lucas
Buchcover Factoring Ideals in Integral Domains | Marco Fontana | EAN 9783642317125 | ISBN 3-642-31712-X | ISBN 978-3-642-31712-5

Factoring Ideals in Integral Domains

von Marco Fontana, Evan Houston und Thomas Lucas
Mitwirkende
Autor / AutorinMarco Fontana
Autor / AutorinEvan Houston
Autor / AutorinThomas Lucas
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.