Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2020 | OriginalPaper | Chapter

1. Associated Primes of Powers of Ideals

Authors : Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl

Published in: Ideals of Powers and Powers of Ideals

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The primary decomposition of ideals in Noetherian rings is a fundamental result in commutative algebra and algebraic geometry. It is a far reaching generalization of the fact that every positive integer has a unique factorization into primes. We recall one version of this result.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
next chapter Associated Primes of Powers of Squarefree Monomial Ideals
Literature
5.
M.F. Atiyah, I.G. Macdonald, Introduction to Commutative Algebra (Addison-Wesley Publishing Co., Reading, MA/London/Don Mills, ON, 1969)MATH
24.
95.
136.
S. McAdam, Asymptotic Prime Divisors. Lecture Notes Mathematics, vol. 1023 (Springer, Berlin, 1983)CrossRef
148.
L.J. Ratliff Jr., A brief survey and history of asymptotic prime divisors. Rocky Mountain J. Math. 13, 437–459 (1983)MathSciNetCrossRef
159.
I. Swanson, Primary decompositions, in Commutative Algebra and Combinatorics. Ramanujan Mathematical Society Lecture Notes Series, vol. 4 (Ramanujan Mathematical Society, Mysore, 2007), pp. 117–155
166.
R.H. Villarreal, Monomial Algebras. Monographs and Textbooks in Pure and Applied Mathematics, 2nd edn. (CRC Press, New York, 2015)
Metadata
Title
Associated Primes of Powers of Ideals
Authors
Enrico Carlini
Huy Tài Hà
Brian Harbourne
Adam Van Tuyl
Copyright Year
2020
Book
Ideals of Powers and Powers of Ideals

Print ISBN: 978-3-030-45246-9

Electronic ISBN: 978-3-030-45247-6

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-45247-6_1

Premium Partner

    Image Credits