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Description: | Title : Asymptotic prime divisors. 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 talk to present the first chapter of S. McAdam, Asymptotic prime divisors, Lecture Notes in Mathematics 1023, Springer-Verlag, Berlin, 1983. |

Location: | Ramanujan Hall, Department of Mathematics |

Date: | Tuesday, October 17, 2017 |

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

Duration: | 55 minutes |

Access: | Public |