Lecture: Associated prime ideals of powers of ideals
Master data
Title: | Associated prime ideals of powers of ideals |
Description: | Let R be a multivariate polynomial ring over a field and I a (monomial) ideal of R. A prime ideal P of R is called associated to I if it is of the form P = Ann R (x) for a non-zero element x ∈ R/I. For a given ideal I, we aim to understand the sequence (a n ) n∈N of numbers of associated prime ideals of the powers I n of the ideal I. While the sequence is known to stabilize for large n, its initial behaviour is yet not very well understood. This talk serves as an introduction to the topic and presents the latest results of a joint research project with Irena Swanson. |
Keywords: | primary decompositions, associated primes |
Type: | Guest lecture |
Homepage: | - |
Event: | Seminar AlgNTh (University of Graz) |
Date: | 05.03.2020 |
lecture status: | stattgefunden (Präsenz) |
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Fakultät für Technische Wissenschaften
Institut für Mathematik
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AT - 9020 Klagenfurt am Wörthersee |
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