Séminaire d'algèbre et de géométrie du 08-12-2023
Exposé de Pace Nielsen
Le 08-12-2023 à 16:45, en en ligne.Lifting Periodic Elements
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Résumé
An element x is periodic if x^m = x^n for some natural numbers m>n. Idempotents are the classical example, where m=2 and n=1. Lifting idempotents modulo ideals, especially nil ideals, allows one to transfer ring structure from a factor ring back to the original. We discover that more is true, by investigating situations where periodic elements do (or do not) lift modulo ideals, as well as investigating the relationship between periodic element lifting and idempotent lifting.