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Description: | Speaker: Provanjan Mallick Title : Asymptotic prime divisors - III Abstract : Consider a Noetherian ring R and an ideal I of R. Ratliff asked a question that what happens to Ass(R/I^n) as n gets large ? He was able to answer that question for the integral closure of I. Meanwhile Brodmann answered the original question, and proved that the set Ass(R/I^n) stabilizes for large n. We will discuss the proof of stability of Ass(R/I^n). We will also give an example to show that the sequence is not monotone. The aim of this series of talks to present the first chapter of S. McAdam, Asymptotic prime divisors, Lecture Notes in Mathematics 1023, Springer-Verlag, Berlin, 1983. |

Location: | Ramanujan Hall |

Date: | Tuesday, October 31, 2017 |

Time: | 10:30am-11:25am IST |

Duration: | 55 minutes |

Access: | Public |