На 7 януари 2022 г. (петък) от 13:00 ч. ще се проведе дистанционно заседание на семинара по „Алгебра и логика”.

Доклад на тема:

A valuation theorem for Noetherian rings

ще изнесе Антони Рангачев (ИМИ – БАН).

Резюме: A classical result due to Krull says that a normal domain R is equal to the intersection of the valuation rings in its field of fractions that contain R. If in addition R is Noetherian, then one can restrict the intersection to the discrete valuation rings that contain R. Now consider the following relative setting. Let A and B be integral domains. Suppose A is Noetherian and B is a finitely generated A-algebra that contains A. Denote by A’ the integral closure of A in B. In this talk I will show that A’ is determined by finitely many unique discrete valuation rings. This result generalizes Rees’ classical valuation theorem for ideals. If time permits I will obtain a variant of Zariski’s main theorem.

Семинарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка:

https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09

Topic: Онлайн семинар на секция “Алгебра и логика”
Time: Jan 07, 2022 01:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647

От секция „Алгебра и логика” на ИМИ – БАН
http://www.math.bas.bg/algebra/seminarAiL/
============================== =====================