Factoring Ideals in Integral Domains

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  • Factoring Ideals in Integral Domains Book Detail

  • Author : Marco Fontana
  • Release Date : 2013
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 170
  • ISBN 13 : 3642317111
  • File Size : 93,93 MB

Factoring Ideals in Integral Domains by Marco Fontana PDF Summary

Book 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. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.

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Factoring Ideals in Integral Domains

Factoring Ideals in Integral Domains

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This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors

Monomial Ideals and Their Decompositions

Monomial Ideals and Their Decompositions

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This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathem